55972842240 has 576 divisors, whose sum is σ = 211705288704. Its totient is φ = 12336758784.

The previous prime is 55972842223. The next prime is 55972842253. The reversal of 55972842240 is 4224827955.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55972842240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166091352 + ... + 166091688.

It is an arithmetic number, because the mean of its divisors is an integer number (367543904).

Almost surely, 2^55972842240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55972842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105852644352).

55972842240 is an abundant number, since it is smaller than the sum of its proper divisors (155732446464).

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

55972842240 is a wasteful number, since it uses less digits than its factorization.

55972842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 55972842240 in words is "fifty-five billion, nine hundred seventy-two million, eight hundred forty-two thousand, two hundred forty".