11075957529768 has 96 divisors (see below), whose sum is σ = 31065549840000. Its totient is φ = 3560796505728.

The previous prime is 11075957529743. The next prime is 11075957529779. The reversal of 11075957529768 is 86792575957011.

It is a happy number.

11075957529768 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 95 + 7 + 529 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×11075957529768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11075957529696 and 11075957529705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967188 + ... + 4804931.

It is an arithmetic number, because the mean of its divisors is an integer number (323599477500).

Almost surely, 2^{11075957529768} is an apocalyptic number.

11075957529768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11075957529768 is an abundant number, since it is smaller than the sum of its proper divisors (19989592310232).

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

11075957529768 is a wasteful number, since it uses less digits than its factorization.

11075957529768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773079 (or 5773072 counting only the distinct ones).

The product of its (nonzero) digits is 333396000, while the sum is 72.

The spelling of 11075957529768 in words is "eleven trillion, seventy-five billion, nine hundred fifty-seven million, five hundred twenty-nine thousand, seven hundred sixty-eight".