163587133440 has 364 divisors, whose sum is σ = 588626261724. Its totient is φ = 43619254272.

The previous prime is 163587133439. The next prime is 163587133453. The reversal of 163587133440 is 44331785361.

163587133440 is a `hidden beast` number, since 1 + 63 + 58 + 71 + 33 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80311025664 + 83276107776 = 283392^2 + 288576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14924442 + ... + 14935398.

Almost surely, 2^163587133440 is an apocalyptic number.

163587133440 is a gapful number since it is divisible by the number (10) 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 163587133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294313130862).

163587133440 is an abundant number, since it is smaller than the sum of its proper divisors (425039128284).

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

163587133440 is an frugal number, since it uses more digits than its factorization.

163587133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004 (or 10967 counting only the distinct ones).

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

The spelling of 163587133440 in words is "one hundred sixty-three billion, five hundred eighty-seven million, one hundred thirty-three thousand, four hundred forty".