52769574000 has 1440 divisors, whose sum is σ = 231937655040. Its totient is φ = 11052288000.

The previous prime is 52769573953. The next prime is 52769574031. The reversal of 52769574000 is 47596725.

52769574000 is a `hidden beast` number, since 5 + 2 + 76 + 9 + 574 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 635777959 + ... + 635778041.

It is an arithmetic number, because the mean of its divisors is an integer number (161067816).

Almost surely, 2^52769574000 is an apocalyptic number.

52769574000 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 52769574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115968827520).

52769574000 is an abundant number, since it is smaller than the sum of its proper divisors (179168081040).

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

52769574000 is a wasteful number, since it uses less digits than its factorization.

52769574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 52769574000 in words is "fifty-two billion, seven hundred sixty-nine million, five hundred seventy-four thousand".