10264075411968 has 160 divisors (see below), whose sum is σ = 34722715758720. Its totient is φ = 2932592947200.

The previous prime is 10264075411957. The next prime is 10264075412021. The reversal of 10264075411968 is 86911457046201.

10264075411968 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 0 + 7 + 541 + 1 + 96 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52937683 + ... + 53131218.

It is an arithmetic number, because the mean of its divisors is an integer number (217016973492).

Almost surely, 2^{10264075411968} is an apocalyptic number.

10264075411968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10264075411968 is an abundant number, since it is smaller than the sum of its proper divisors (24458640346752).

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

10264075411968 is an equidigital number, since it uses as much as digits as its factorization.

10264075411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106068935 (or 106068913 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10264075411968 in words is "ten trillion, two hundred sixty-four billion, seventy-five million, four hundred eleven thousand, nine hundred sixty-eight".