55376678400 has 480 divisors, whose sum is σ = 190265822208. Its totient is φ = 14187724800.

The previous prime is 55376678393. The next prime is 55376678453. The reversal of 55376678400 is 487667355.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 110092549 + ... + 110093051.

Almost surely, 2^55376678400 is an apocalyptic number.

55376678400 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 55376678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95132911104).

55376678400 is an abundant number, since it is smaller than the sum of its proper divisors (134889143808).

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

55376678400 is a wasteful number, since it uses less digits than its factorization.

55376678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 55376678400 in words is "fifty-five billion, three hundred seventy-six million, six hundred seventy-eight thousand, four hundred".