55002564 has 72 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 18053280.

The previous prime is 55002553. The next prime is 55002581. The reversal of 55002564 is 46520055.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68614 + ... + 69410.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^55002564 is an apocalyptic number.

55002564 is a gapful number since it is divisible by the number (54) 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 55002564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

55002564 is an abundant number, since it is smaller than the sum of its proper divisors (91395324).

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

55002564 is a wasteful number, since it uses less digits than its factorization.

55002564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55002564 is about 7416.3713499258. The cubic root of 55002564 is about 380.3011555420.

The spelling of 55002564 in words is "fifty-five million, two thousand, five hundred sixty-four".