26500918920 has 384 divisors, whose sum is σ = 95224947840. Its totient is φ = 5879623680.

The previous prime is 26500918891. The next prime is 26500918937. The reversal of 26500918920 is 2981900562.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71047854 + ... + 71048226.

It is an arithmetic number, because the mean of its divisors is an integer number (247981635).

Almost surely, 2^26500918920 is an apocalyptic number.

26500918920 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 26500918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47612473920).

26500918920 is an abundant number, since it is smaller than the sum of its proper divisors (68724028920).

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

26500918920 is a wasteful number, since it uses less digits than its factorization.

26500918920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 26500918920 in words is "twenty-six billion, five hundred million, nine hundred eighteen thousand, nine hundred twenty".