26157320520 has 256 divisors, whose sum is σ = 84067200000. Its totient is φ = 6491943936.

The previous prime is 26157320479. The next prime is 26157320573. The reversal of 26157320520 is 2502375162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52419231 + ... + 52419729.

It is an arithmetic number, because the mean of its divisors is an integer number (328387500).

Almost surely, 2^26157320520 is an apocalyptic number.

26157320520 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 26157320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42033600000).

26157320520 is an abundant number, since it is smaller than the sum of its proper divisors (57909879480).

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

26157320520 is a wasteful number, since it uses less digits than its factorization.

26157320520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 26157320520 its reverse (2502375162), we get a palindrome (28659695682).

The spelling of 26157320520 in words is "twenty-six billion, one hundred fifty-seven million, three hundred twenty thousand, five hundred twenty".