253402554521200 has 240 divisors, whose sum is σ = 703294181720064. Its totient is φ = 85945643596800.

The previous prime is 253402554521197. The next prime is 253402554521219. The reversal of 253402554521200 is 2125455204352.

It is a super-2 number, since 2×253402554521200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115185937 + ... + 117365263.

Almost surely, 2^{253402554521200} is an apocalyptic number.

253402554521200 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 253402554521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351647090860032).

253402554521200 is an abundant number, since it is smaller than the sum of its proper divisors (449891627198864).

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

253402554521200 is a wasteful number, since it uses less digits than its factorization.

253402554521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179800 (or 2179789 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 253402554521200 in words is "two hundred fifty-three trillion, four hundred two billion, five hundred fifty-four million, five hundred twenty-one thousand, two hundred".