26157192960 has 144 divisors (see below), whose sum is σ = 83662506144. Its totient is φ = 6964985856.

The previous prime is 26157192917. The next prime is 26157192983. The reversal of 26157192960 is 6929175162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2810074 + ... + 2819366.

It is an arithmetic number, because the mean of its divisors is an integer number (580989626).

Almost surely, 2^26157192960 is an apocalyptic number.

26157192960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26157192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41831253072).

26157192960 is an abundant number, since it is smaller than the sum of its proper divisors (57505313184).

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

26157192960 is an equidigital number, since it uses as much as digits as its factorization.

26157192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 26157192960 in words is "twenty-six billion, one hundred fifty-seven million, one hundred ninety-two thousand, nine hundred sixty".