10553527651968 has 192 divisors, whose sum is σ = 35065095549120. Its totient is φ = 2984207892480.

The previous prime is 10553527651897. The next prime is 10553527651999. The reversal of 10553527651968 is 86915672535501.

10553527651968 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 52 + 7 + 6 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10553527651968² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5963778 + ... + 7528193.

It is an arithmetic number, because the mean of its divisors is an integer number (182630705985).

Almost surely, 2^{10553527651968} is an apocalyptic number.

10553527651968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10553527651968 is an abundant number, since it is smaller than the sum of its proper divisors (24511567897152).

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

10553527651968 is a wasteful number, since it uses less digits than its factorization.

10553527651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13492095 (or 13492080 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 10553527651968 in words is "ten trillion, five hundred fifty-three billion, five hundred twenty-seven million, six hundred fifty-one thousand, nine hundred sixty-eight".