253220480688 has 240 divisors, whose sum is σ = 766989957120. Its totient is φ = 71777083392.

The previous prime is 253220480671. The next prime is 253220480717. The reversal of 253220480688 is 886084022352.

It is a super-2 number, since 2×253220480688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275538693 + ... + 275539611.

It is an arithmetic number, because the mean of its divisors is an integer number (3195791488).

Almost surely, 2^253220480688 is an apocalyptic number.

253220480688 is a gapful number since it is divisible by the number (28) 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 253220480688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383494978560).

253220480688 is an abundant number, since it is smaller than the sum of its proper divisors (513769476432).

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

253220480688 is a wasteful number, since it uses less digits than its factorization.

253220480688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 253220480688 in words is "two hundred fifty-three billion, two hundred twenty million, four hundred eighty thousand, six hundred eighty-eight".