55778255769600 has 7488 divisors, whose sum is σ = 287117128327680. Its totient is φ = 10594748989440.

The previous prime is 55778255769559. The next prime is 55778255769667. The reversal of 55778255769600 is 696755287755.

55778255769600 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 8 + 2 + 5 + 5 + 7 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a super-2 number, since 2×55778255769600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2425141555189 + ... + 2425141555211.

Almost surely, 2^{55778255769600} is an apocalyptic number.

55778255769600 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 55778255769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143558564163840).

55778255769600 is an abundant number, since it is smaller than the sum of its proper divisors (231338872558080).

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

55778255769600 is a wasteful number, since it uses less digits than its factorization.

55778255769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1111320000, while the sum is 72.

The spelling of 55778255769600 in words is "fifty-five trillion, seven hundred seventy-eight billion, two hundred fifty-five million, seven hundred sixty-nine thousand, six hundred".