1137930219360 has 768 divisors, whose sum is σ = 4430866406400. Its totient is φ = 270430617600.

The previous prime is 1137930219353. The next prime is 1137930219383. The reversal of 1137930219360 is 639120397311.

1137930219360 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 3 + 0 + 219 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1324714611 + ... + 1324715469.

It is an arithmetic number, because the mean of its divisors is an integer number (5769357300).

Almost surely, 2^{1137930219360} is an apocalyptic number.

1137930219360 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 1137930219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215433203200).

1137930219360 is an abundant number, since it is smaller than the sum of its proper divisors (3292936187040).

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

1137930219360 is a wasteful number, since it uses less digits than its factorization.

1137930219360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 1137930219360 in words is "one trillion, one hundred thirty-seven billion, nine hundred thirty million, two hundred nineteen thousand, three hundred sixty".