12390557400 has 864 divisors, whose sum is σ = 50422554000. Its totient is φ = 2699827200.

The previous prime is 12390557393. The next prime is 12390557411. The reversal of 12390557400 is 475509321.

12390557400 is a `hidden beast` number, since 12 + 3 + 90 + 557 + 4 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 399695385 + ... + 399695415.

Almost surely, 2^12390557400 is an apocalyptic number.

12390557400 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 12390557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25211277000).

12390557400 is an abundant number, since it is smaller than the sum of its proper divisors (38031996600).

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

12390557400 is a wasteful number, since it uses less digits than its factorization.

12390557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12390557400 in words is "twelve billion, three hundred ninety million, five hundred fifty-seven thousand, four hundred".