253022484274560 has 7680 divisors, whose sum is σ = 1284865943961600. Its totient is φ = 46115536896000.

The previous prime is 253022484274543. The next prime is 253022484274579. The reversal of 253022484274560 is 65472484220352.

253022484274560 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 2 + 2 + 4 + 8 + 4 + 2 + 74 + 560 = 666.

253022484274560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 253022484274497 and 253022484274506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1397914277670 + ... + 1397914277850.

It is an arithmetic number, because the mean of its divisors is an integer number (167300253120).

Almost surely, 2^{253022484274560} is an apocalyptic number.

253022484274560 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 253022484274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642432971980800).

253022484274560 is an abundant number, since it is smaller than the sum of its proper divisors (1031843459687040).

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

253022484274560 is a wasteful number, since it uses less digits than its factorization.

253022484274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 253022484274560 in words is "two hundred fifty-three trillion, twenty-two billion, four hundred eighty-four million, two hundred seventy-four thousand, five hundred sixty".