55761560400 has 720 divisors, whose sum is σ = 226551583104. Its totient is φ = 11416412160.

The previous prime is 55761560399. The next prime is 55761560429. The reversal of 55761560400 is 406516755.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149494614 + ... + 149494986.

Almost surely, 2^55761560400 is an apocalyptic number.

55761560400 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 55761560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113275791552).

55761560400 is an abundant number, since it is smaller than the sum of its proper divisors (170790022704).

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

55761560400 is a wasteful number, since it uses less digits than its factorization.

55761560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 55761560400 in words is "fifty-five billion, seven hundred sixty-one million, five hundred sixty thousand, four hundred".