10675488323232 has 192 divisors, whose sum is σ = 33249576729600. Its totient is φ = 3324957189120.

The previous prime is 10675488323231. The next prime is 10675488323233. The reversal of 10675488323232 is 23232388457601.

10675488323232 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 4 + 88 + 323 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (10675488323231) and next prime (10675488323233).

It is a super-2 number, since 2×10675488323232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10675488323231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6095283 + ... + 7648754.

It is an arithmetic number, because the mean of its divisors is an integer number (173174878800).

Almost surely, 2^{10675488323232} is an apocalyptic number.

10675488323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10675488323232 is an abundant number, since it is smaller than the sum of its proper divisors (22574088406368).

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

10675488323232 is a wasteful number, since it uses less digits than its factorization.

10675488323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744116 (or 13744102 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 10675488323232 in words is "ten trillion, six hundred seventy-five billion, four hundred eighty-eight million, three hundred twenty-three thousand, two hundred thirty-two".