52777580054400 has 3840 divisors, whose sum is σ = 218615721984000. Its totient is φ = 12499329024000.

The previous prime is 52777580054293. The next prime is 52777580054411. The reversal of 52777580054400 is 445008577725.

52777580054400 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 7 + 580 + 0 + 54 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 668070633561 + ... + 668070633639.

It is an arithmetic number, because the mean of its divisors is an integer number (56931177600).

Almost surely, 2^{52777580054400} is an apocalyptic number.

52777580054400 is a gapful number since it is divisible by the number (50) 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 52777580054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109307860992000).

52777580054400 is an abundant number, since it is smaller than the sum of its proper divisors (165838141929600).

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

52777580054400 is a wasteful number, since it uses less digits than its factorization.

52777580054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 52777580054400 in words is "fifty-two trillion, seven hundred seventy-seven billion, five hundred eighty million, fifty-four thousand, four hundred".