13255880400 has 180 divisors, whose sum is σ = 52573342432. Its totient is φ = 3029909760.

The previous prime is 13255880377. The next prime is 13255880479. The reversal of 13255880400 is 408855231.

It is a happy number.

13255880400 is a `hidden beast` number, since 1 + 32 + 5 + 588 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 237814 + ... + 288213.

Almost surely, 2^13255880400 is an apocalyptic number.

13255880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13255880400 is an abundant number, since it is smaller than the sum of its proper divisors (39317462032).

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

13255880400 is a wasteful number, since it uses less digits than its factorization.

13255880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526058 (or 526044 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13255880400 in words is "thirteen billion, two hundred fifty-five million, eight hundred eighty thousand, four hundred".