253689476400 has 180 divisors, whose sum is σ = 881741747952. Its totient is φ = 67545346560.

The previous prime is 253689476363. The next prime is 253689476479. The reversal of 253689476400 is 4674986352.

253689476400 is a `hidden beast` number, since 2 + 53 + 6 + 89 + 476 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×253689476400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2274742 + ... + 2383658.

Almost surely, 2^253689476400 is an apocalyptic number.

253689476400 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 253689476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440870873976).

253689476400 is an abundant number, since it is smaller than the sum of its proper divisors (628052271552).

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

253689476400 is a wasteful number, since it uses less digits than its factorization.

253689476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109588 (or 109574 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 253689476400 in words is "two hundred fifty-three billion, six hundred eighty-nine million, four hundred seventy-six thousand, four hundred".