253835366400 has 1872 divisors, whose sum is σ = 1172505609600. Its totient is φ = 52022476800.

The previous prime is 253835366383. The next prime is 253835366423. The reversal of 253835366400 is 4663538352.

253835366400 is a `hidden beast` number, since 2 + 53 + 8 + 3 + 536 + 64 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3477196764 + ... + 3477196836.

Almost surely, 2^253835366400 is an apocalyptic number.

253835366400 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 253835366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586252804800).

253835366400 is an abundant number, since it is smaller than the sum of its proper divisors (918670243200).

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

253835366400 is a wasteful number, since it uses less digits than its factorization.

253835366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 253835366400 in words is "two hundred fifty-three billion, eight hundred thirty-five million, three hundred sixty-six thousand, four hundred".