253378180224 has 384 divisors, whose sum is σ = 828986558400. Its totient is φ = 73640337408.

The previous prime is 253378180219. The next prime is 253378180247. The reversal of 253378180224 is 422081873352.

253378180224 is a `hidden beast` number, since 2 + 53 + 378 + 1 + 8 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 253378180224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112962847 + ... + 112965089.

Almost surely, 2^253378180224 is an apocalyptic number.

253378180224 is a gapful number since it is divisible by the number (24) 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 253378180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414493279200).

253378180224 is an abundant number, since it is smaller than the sum of its proper divisors (575608378176).

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

253378180224 is a wasteful number, since it uses less digits than its factorization.

253378180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 253378180224 in words is "two hundred fifty-three billion, three hundred seventy-eight million, one hundred eighty thousand, two hundred twenty-four".