54251590752 has 192 divisors, whose sum is σ = 160960504320. Its totient is φ = 17773862400.

The previous prime is 54251590751. The next prime is 54251590759. The reversal of 54251590752 is 25709515245.

54251590752 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 590 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54251590698 and 54251590707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54251590751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22880127 + ... + 22882497.

It is an arithmetic number, because the mean of its divisors is an integer number (838335960).

Almost surely, 2^54251590752 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 54251590752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80480252160).

54251590752 is an abundant number, since it is smaller than the sum of its proper divisors (106708913568).

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

54251590752 is a wasteful number, since it uses less digits than its factorization.

54251590752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 54251590752 in words is "fifty-four billion, two hundred fifty-one million, five hundred ninety thousand, seven hundred fifty-two".