252819919052064 has 5760 divisors, whose sum is σ = 1076397067468800. Its totient is φ = 57360633200640.

The previous prime is 252819919052053. The next prime is 252819919052171. The reversal of 252819919052064 is 460250919918252.

252819919052064 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 1 + 99 + 19 + 0 + 520 + 6 + 4 = 666.

It is a super-2 number, since 2×252819919052064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 252819919051992 and 252819919052010.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1990708023969 + ... + 1990708024095.

It is an arithmetic number, because the mean of its divisors is an integer number (186874490880).

Almost surely, 2^{252819919052064} is an apocalyptic number.

252819919052064 is a gapful number since it is divisible by the number (24) 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 252819919052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538198533734400).

252819919052064 is an abundant number, since it is smaller than the sum of its proper divisors (823577148416736).

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

252819919052064 is a wasteful number, since it uses less digits than its factorization.

252819919052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 252819919052064 in words is "two hundred fifty-two trillion, eight hundred nineteen billion, nine hundred nineteen million, fifty-two thousand, sixty-four".