253167463080 has 1152 divisors, whose sum is σ = 1062266400000. Its totient is φ = 52063119360.

The previous prime is 253167463063. The next prime is 253167463177. The reversal of 253167463080 is 80364761352.

253167463080 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 6 + 7 + 4 + 630 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4150286250 + ... + 4150286310.

It is an arithmetic number, because the mean of its divisors is an integer number (922106250).

Almost surely, 2^253167463080 is an apocalyptic number.

253167463080 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 253167463080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531133200000).

253167463080 is an abundant number, since it is smaller than the sum of its proper divisors (809098936920).

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

253167463080 is a wasteful number, since it uses less digits than its factorization.

253167463080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 253167463080 in words is "two hundred fifty-three billion, one hundred sixty-seven million, four hundred sixty-three thousand, eighty".