54596436400 has 240 divisors, whose sum is σ = 147798540288. Its totient is φ = 19208448000.

The previous prime is 54596436379. The next prime is 54596436413. The reversal of 54596436400 is 463469545.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22909609 + ... + 22911991.

Almost surely, 2^54596436400 is an apocalyptic number.

54596436400 is a gapful number since it is divisible by the number (50) 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 54596436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73899270144).

54596436400 is an abundant number, since it is smaller than the sum of its proper divisors (93202103888).

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

54596436400 is a wasteful number, since it uses less digits than its factorization.

54596436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 54596436400 in words is "fifty-four billion, five hundred ninety-six million, four hundred thirty-six thousand, four hundred".