26456531400 has 144 divisors (see below), whose sum is σ = 95684539860. Its totient is φ = 6512371200.

The previous prime is 26456531357. The next prime is 26456531419. The reversal of 26456531400 is 413565462.

26456531400 is a `hidden beast` number, since 2 + 64 + 565 + 31 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12953626596 + 13502904804 = 113814^2 + 116202^2 .

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 35 ways as a sum of consecutive naturals, for example, 541911 + ... + 588710.

Almost surely, 2^26456531400 is an apocalyptic number.

26456531400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26456531400 is an abundant number, since it is smaller than the sum of its proper divisors (69228008460).

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

26456531400 is a wasteful number, since it uses less digits than its factorization.

26456531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130656 (or 1130644 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 26456531400 in words is "twenty-six billion, four hundred fifty-six million, five hundred thirty-one thousand, four hundred".