1113086257920 has 2304 divisors, whose sum is σ = 5142638592000. Its totient is φ = 226297774080.

The previous prime is 1113086257903. The next prime is 1113086257937. The reversal of 1113086257920 is 297526803111.

1113086257920 is a `hidden beast` number, since 1 + 1 + 1 + 308 + 6 + 257 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1113086257903) and next prime (1113086257937).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1113086257920² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4777194124 + ... + 4777194356.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048000).

Almost surely, 2^{1113086257920} is an apocalyptic number.

1113086257920 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 1113086257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571319296000).

1113086257920 is an abundant number, since it is smaller than the sum of its proper divisors (4029552334080).

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

1113086257920 is a wasteful number, since it uses less digits than its factorization.

1113086257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1113086257920 in words is "one trillion, one hundred thirteen billion, eighty-six million, two hundred fifty-seven thousand, nine hundred twenty".