52977686446080 has 1024 divisors, whose sum is σ = 208038414355200. Its totient is φ = 12842119987200.

The previous prime is 52977686446063. The next prime is 52977686446129. The reversal of 52977686446080 is 8064468677925.

52977686446080 is a `hidden beast` number, since 5 + 2 + 9 + 7 + 7 + 6 + 8 + 6 + 4 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×52977686446080² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3941492160 + ... + 3941505600.

Almost surely, 2^{52977686446080} 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 52977686446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019207177600).

52977686446080 is an abundant number, since it is smaller than the sum of its proper divisors (155060727909120).

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

52977686446080 is an frugal number, since it uses more digits than its factorization.

52977686446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 52977686446080 in words is "fifty-two trillion, nine hundred seventy-seven billion, six hundred eighty-six million, four hundred forty-six thousand, eighty".