53782974336 has 512 divisors, whose sum is σ = 183368908800. Its totient is φ = 13586227200.

The previous prime is 53782974293. The next prime is 53782974461. The reversal of 53782974336 is 63347928735.

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, 141907395 + ... + 141907773.

It is an arithmetic number, because the mean of its divisors is an integer number (358142400).

Almost surely, 2^53782974336 is an apocalyptic number.

53782974336 is a gapful number since it is divisible by the number (56) 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 53782974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91684454400).

53782974336 is an abundant number, since it is smaller than the sum of its proper divisors (129585934464).

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

53782974336 is a wasteful number, since it uses less digits than its factorization.

53782974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 57.

The spelling of 53782974336 in words is "fifty-three billion, seven hundred eighty-two million, nine hundred seventy-four thousand, three hundred thirty-six".