52802796949344 has 384 divisors, whose sum is σ = 171233608089600. Its totient is φ = 15720299182080.

The previous prime is 52802796949337. The next prime is 52802796949447. The reversal of 52802796949344 is 44394969720825.

52802796949344 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 2 + 7 + 96 + 9 + 493 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3425853382 + ... + 3425868794.

It is an arithmetic number, because the mean of its divisors is an integer number (445920854400).

Almost surely, 2^{52802796949344} is an apocalyptic number.

52802796949344 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 52802796949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85616804044800).

52802796949344 is an abundant number, since it is smaller than the sum of its proper divisors (118430811140256).

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

52802796949344 is a wasteful number, since it uses less digits than its factorization.

52802796949344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25315 (or 25301 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 52802796949344 in words is "fifty-two trillion, eight hundred two billion, seven hundred ninety-six million, nine hundred forty-nine thousand, three hundred forty-four".