26257066452400 has 120 divisors (see below), whose sum is σ = 72141751275264. Its totient is φ = 8996510342400.

The previous prime is 26257066452317. The next prime is 26257066452413. The reversal of 26257066452400 is 425466075262.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185765 + ... + 7343035.

Almost surely, 2^{26257066452400} is an apocalyptic number.

26257066452400 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 26257066452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36070875637632).

26257066452400 is an abundant number, since it is smaller than the sum of its proper divisors (45884684822864).

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

26257066452400 is a wasteful number, since it uses less digits than its factorization.

26257066452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158819 (or 6158808 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 26257066452400 in words is "twenty-six trillion, two hundred fifty-seven billion, sixty-six million, four hundred fifty-two thousand, four hundred".