253148505292800 has 3600 divisors, whose sum is σ = 1074972095403360. Its totient is φ = 58431645941760.

The previous prime is 253148505292733. The next prime is 253148505292853. The reversal of 253148505292800 is 8292505841352.

253148505292800 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 48 + 50 + 529 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×253148505292800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 462794342127 + ... + 462794342673.

Almost surely, 2^{253148505292800} is an apocalyptic number.

253148505292800 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 253148505292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537486047701680).

253148505292800 is an abundant number, since it is smaller than the sum of its proper divisors (821823590110560).

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

253148505292800 is a wasteful number, since it uses less digits than its factorization.

253148505292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 253148505292800 in words is "two hundred fifty-three trillion, one hundred forty-eight billion, five hundred five million, two hundred ninety-two thousand, eight hundred".