253532132280 has 1152 divisors, whose sum is σ = 1070659399680. Its totient is φ = 50737397760.

The previous prime is 253532132237. The next prime is 253532132281. The reversal of 253532132280 is 82231235352.

253532132280 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 321 + 322 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253532132281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1116881527 + ... + 1116881753.

It is an arithmetic number, because the mean of its divisors is an integer number (929391840).

Almost surely, 2^253532132280 is an apocalyptic number.

253532132280 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 253532132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535329699840).

253532132280 is an abundant number, since it is smaller than the sum of its proper divisors (817127267400).

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

253532132280 is a wasteful number, since it uses less digits than its factorization.

253532132280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 253532132280 in words is "two hundred fifty-three billion, five hundred thirty-two million, one hundred thirty-two thousand, two hundred eighty".