26157161520 has 560 divisors, whose sum is σ = 110366418240. Its totient is φ = 5625593856.

The previous prime is 26157161491. The next prime is 26157161533. The reversal of 26157161520 is 2516175162.

26157161520 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 71 + 61 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6938196 + ... + 6941964.

Almost surely, 2^26157161520 is an apocalyptic number.

26157161520 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 26157161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55183209120).

26157161520 is an abundant number, since it is smaller than the sum of its proper divisors (84209256720).

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

26157161520 is a wasteful number, since it uses less digits than its factorization.

26157161520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 26157161520 in words is "twenty-six billion, one hundred fifty-seven million, one hundred sixty-one thousand, five hundred twenty".