55774656000 has 1600 divisors, whose sum is σ = 250259518080. Its totient is φ = 12076646400.

The previous prime is 55774655999. The next prime is 55774656001. The reversal of 55774656000 is 65647755.

55774656000 is a `hidden beast` number, since 557 + 7 + 46 + 56 + 0 + 0 + 0 = 666.

55774656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55774655999) and next prime (55774656001).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×55774656000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55774656001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1052351974 + ... + 1052352026.

Almost surely, 2^55774656000 is an apocalyptic number.

55774656000 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 55774656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125129759040).

55774656000 is an abundant number, since it is smaller than the sum of its proper divisors (194484862080).

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

55774656000 is an equidigital number, since it uses as much as digits as its factorization.

55774656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 55774656000 in words is "fifty-five billion, seven hundred seventy-four million, six hundred fifty-six thousand".