10919301120 has 1248 divisors, whose sum is σ = 50199690240. Its totient is φ = 2229534720.

The previous prime is 10919301109. The next prime is 10919301131. The reversal of 10919301120 is 2110391901.

It is an interprime number because it is at equal distance from previous prime (10919301109) and next prime (10919301131).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×10919301120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352235505 + ... + 352235535.

Almost surely, 2^10919301120 is an apocalyptic number.

10919301120 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 10919301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099845120).

10919301120 is an abundant number, since it is smaller than the sum of its proper divisors (39280389120).

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

10919301120 is a wasteful number, since it uses less digits than its factorization.

10919301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 10919301120 in words is "ten billion, nine hundred nineteen million, three hundred one thousand, one hundred twenty".