252841770542592 has 2880 divisors, whose sum is σ = 1004814256343040. Its totient is φ = 61627126579200.

The previous prime is 252841770542573. The next prime is 252841770542681. The reversal of 252841770542592 is 295245077148252.

It is a happy number.

252841770542592 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 4 + 17 + 70 + 542 + 5 + 9 + 2 = 666.

It is a super-2 number, since 2×252841770542592² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 277543106617 + ... + 277543107527.

It is an arithmetic number, because the mean of its divisors is an integer number (348893839008).

Almost surely, 2^{252841770542592} is an apocalyptic number.

252841770542592 is a gapful number since it is divisible by the number (22) 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 252841770542592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502407128171520).

252841770542592 is an abundant number, since it is smaller than the sum of its proper divisors (751972485800448).

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

252841770542592 is an frugal number, since it uses more digits than its factorization.

252841770542592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 252841770542592 in words is "two hundred fifty-two trillion, eight hundred forty-one billion, seven hundred seventy million, five hundred forty-two thousand, five hundred ninety-two".