1045263098880 has 4224 divisors, whose sum is σ = 5438596939776. Its totient is φ = 178362777600.

The previous prime is 1045263098861. The next prime is 1045263098899. The reversal of 1045263098880 is 888903625401.

1045263098880 is a `hidden beast` number, since 1 + 0 + 4 + 526 + 30 + 9 + 8 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1045263098861) and next prime (1045263098899).

It is a tau number, because it is divible by the number of its divisors (4224).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24308444139 + ... + 24308444181.

It is an arithmetic number, because the mean of its divisors is an integer number (1287546624).

Almost surely, 2^{1045263098880} is an apocalyptic number.

1045263098880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045263098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719298469888).

1045263098880 is an abundant number, since it is smaller than the sum of its proper divisors (4393333840896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045263098880 is a wasteful number, since it uses less digits than its factorization.

1045263098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1045263098880 in words is "one trillion, forty-five billion, two hundred sixty-three million, ninety-eight thousand, eight hundred eighty".