253411545402400 has 288 divisors, whose sum is σ = 771326855171712. Its totient is φ = 78981908275200.

The previous prime is 253411545402377. The next prime is 253411545402517. The reversal of 253411545402400 is 4204545114352.

It is a super-2 number, since 2×253411545402400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619816982 + ... + 1619973418.

It is an arithmetic number, because the mean of its divisors is an integer number (2678218247124).

Almost surely, 2^{253411545402400} is an apocalyptic number.

253411545402400 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 253411545402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385663427585856).

253411545402400 is an abundant number, since it is smaller than the sum of its proper divisors (517915309769312).

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

253411545402400 is a wasteful number, since it uses less digits than its factorization.

253411545402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182772 (or 182759 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 253411545402400 in words is "two hundred fifty-three trillion, four hundred eleven billion, five hundred forty-five million, four hundred two thousand, four hundred".