55261764000 has 960 divisors, whose sum is σ = 219191132160. Its totient is φ = 13586227200.

The previous prime is 55261763989. The next prime is 55261764053. The reversal of 55261764000 is 46716255.

It is a happy number.

55261764000 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 1 + 7 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435131937 + ... + 435132063.

It is an arithmetic number, because the mean of its divisors is an integer number (228324096).

Almost surely, 2^55261764000 is an apocalyptic number.

55261764000 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 55261764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109595566080).

55261764000 is an abundant number, since it is smaller than the sum of its proper divisors (163929368160).

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

55261764000 is a wasteful number, since it uses less digits than its factorization.

55261764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55261764000 in words is "fifty-five billion, two hundred sixty-one million, seven hundred sixty-four thousand".