55019952 has 160 divisors (see below), whose sum is σ = 173530560. Its totient is φ = 16588800.

The previous prime is 55019941. The next prime is 55019969. The reversal of 55019952 is 25991055.

55019952 is a `hidden beast` number, since 550 + 19 + 95 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 544702 + ... + 544802.

It is an arithmetic number, because the mean of its divisors is an integer number (1084566).

Almost surely, 2^55019952 is an apocalyptic number.

55019952 is a gapful number since it is divisible by the number (52) 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 55019952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86765280).

55019952 is an abundant number, since it is smaller than the sum of its proper divisors (118510608).

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

55019952 is a wasteful number, since it uses less digits than its factorization.

55019952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 55019952 is about 7417.5435286893. The cubic root of 55019952 is about 380.3412262787.

It can be divided in two parts, 550 and 19952, that added together give a palindrome (20502).

The spelling of 55019952 in words is "fifty-five million, nineteen thousand, nine hundred fifty-two".