253392202540800 has 1296 divisors, whose sum is σ = 958753964881440. Its totient is φ = 66280603484160.

The previous prime is 253392202540793. The next prime is 253392202540861. The reversal of 253392202540800 is 8045202293352.

253392202540800 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 9 + 2 + 20 + 2 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×253392202540800³ (a number of 44 digits) contains 333 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60088260292 + ... + 60088264508.

It is an arithmetic number, because the mean of its divisors is an integer number (739779293890).

Almost surely, 2^{253392202540800} is an apocalyptic number.

253392202540800 is a gapful number since it is divisible by the number (20) 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 253392202540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479376982440720).

253392202540800 is an abundant number, since it is smaller than the sum of its proper divisors (705361762340640).

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

253392202540800 is an frugal number, since it uses more digits than its factorization.

253392202540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 253392202540800 in words is "two hundred fifty-three trillion, three hundred ninety-two billion, two hundred two million, five hundred forty thousand, eight hundred".