26551764400 has 120 divisors (see below), whose sum is σ = 73902806624. Its totient is φ = 8978688000.

The previous prime is 26551764383. The next prime is 26551764403. The reversal of 26551764400 is 446715562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26551764403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139450 + ... + 269350.

Almost surely, 2^26551764400 is an apocalyptic number.

26551764400 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 26551764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36951403312).

26551764400 is an abundant number, since it is smaller than the sum of its proper divisors (47351042224).

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

26551764400 is a wasteful number, since it uses less digits than its factorization.

26551764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129999 (or 129988 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 26551764400 in words is "twenty-six billion, five hundred fifty-one million, seven hundred sixty-four thousand, four hundred".