12553094400 has 648 divisors, whose sum is σ = 52615944864. Its totient is φ = 2606284800.

The previous prime is 12553094371. The next prime is 12553094417. The reversal of 12553094400 is 449035521.

It is a super-2 number, since 2×12553094400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10348194 + ... + 10349406.

Almost surely, 2^12553094400 is an apocalyptic number.

12553094400 is a gapful number since it is divisible by the number (10) 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 12553094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307972432).

12553094400 is an abundant number, since it is smaller than the sum of its proper divisors (40062850464).

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

12553094400 is a wasteful number, since it uses less digits than its factorization.

12553094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12553094400 in words is "twelve billion, five hundred fifty-three million, ninety-four thousand, four hundred".