253084872536496 has 1440 divisors, whose sum is σ = 1038435773356800. Its totient is φ = 58587103733760.

The previous prime is 253084872536477. The next prime is 253084872536513. The reversal of 253084872536496 is 694635278480352.

253084872536496 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 4 + 87 + 2 + 53 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 789893095 + ... + 790213433.

It is an arithmetic number, because the mean of its divisors is an integer number (721135953720).

Almost surely, 2^{253084872536496} is an apocalyptic number.

253084872536496 is a gapful number since it is divisible by the number (26) 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 253084872536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519217886678400).

253084872536496 is an abundant number, since it is smaller than the sum of its proper divisors (785350900820304).

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

253084872536496 is a wasteful number, since it uses less digits than its factorization.

253084872536496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320429 (or 320404 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 253084872536496 in words is "two hundred fifty-three trillion, eighty-four billion, eight hundred seventy-two million, five hundred thirty-six thousand, four hundred ninety-six".