52777057985424 has 400 divisors, whose sum is σ = 163268609568768. Its totient is φ = 16401181999104.

The previous prime is 52777057985419. The next prime is 52777057985503. The reversal of 52777057985424 is 42458975077725.

52777057985424 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 7 + 0 + 5 + 79 + 8 + 542 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1810332832 + ... + 1810361984.

Almost surely, 2^{52777057985424} is an apocalyptic number.

52777057985424 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 52777057985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81634304784384).

52777057985424 is an abundant number, since it is smaller than the sum of its proper divisors (110491551583344).

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

52777057985424 is a wasteful number, since it uses less digits than its factorization.

52777057985424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29964 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 1382976000, while the sum is 72.

The spelling of 52777057985424 in words is "fifty-two trillion, seven hundred seventy-seven billion, fifty-seven million, nine hundred eighty-five thousand, four hundred twenty-four".