26465157272160 has 96 divisors (see below), whose sum is σ = 92628050467680. Its totient is φ = 7057375271424.

The previous prime is 26465157272129. The next prime is 26465157272207. The reversal of 26465157272160 is 6127275156462.

26465157272160 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 5 + 1 + 572 + 7 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26465157272160² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26465157272097 and 26465157272106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3063092587 + ... + 3063101226.

It is an arithmetic number, because the mean of its divisors is an integer number (964875525705).

Almost surely, 2^{26465157272160} is an apocalyptic number.

26465157272160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26465157272160 is an abundant number, since it is smaller than the sum of its proper divisors (66162893195520).

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

26465157272160 is a wasteful number, since it uses less digits than its factorization.

26465157272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126193837 (or 6126193823 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 26465157272160 in words is "twenty-six trillion, four hundred sixty-five billion, one hundred fifty-seven million, two hundred seventy-two thousand, one hundred sixty".