26116564503120 has 320 divisors, whose sum is σ = 104889199994880. Its totient is φ = 5220291815424.

The previous prime is 26116564503091. The next prime is 26116564503157. The reversal of 26116564503120 is 2130546561162.

It is a super-2 number, since 2×26116564503120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31053814 + ... + 31883733.

It is an arithmetic number, because the mean of its divisors is an integer number (327778749984).

Almost surely, 2^{26116564503120} is an apocalyptic number.

26116564503120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26116564503120 is an abundant number, since it is smaller than the sum of its proper divisors (78772635491760).

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

26116564503120 is a wasteful number, since it uses less digits than its factorization.

26116564503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62937602 (or 62937596 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 26116564503120 in words is "twenty-six trillion, one hundred sixteen billion, five hundred sixty-four million, five hundred three thousand, one hundred twenty".