55777741600 has 576 divisors, whose sum is σ = 170764070400. Its totient is φ = 17371791360.

The previous prime is 55777741559. The next prime is 55777741619. The reversal of 55777741600 is 614777755.

55777741600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55777741600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407136732 + ... + 407136868.

It is an arithmetic number, because the mean of its divisors is an integer number (296465400).

Almost surely, 2^55777741600 is an apocalyptic number.

55777741600 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 55777741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85382035200).

55777741600 is an abundant number, since it is smaller than the sum of its proper divisors (114986328800).

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

55777741600 is a wasteful number, since it uses less digits than its factorization.

55777741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 49.

The spelling of 55777741600 in words is "fifty-five billion, seven hundred seventy-seven million, seven hundred forty-one thousand, six hundred".