201579381360 has 240 divisors, whose sum is σ = 775032912576. Its totient is φ = 45994770432.

The previous prime is 201579381317. The next prime is 201579381391. The reversal of 201579381360 is 63183975102.

201579381360 is a `hidden beast` number, since 2 + 0 + 1 + 579 + 3 + 8 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2873422 + ... + 2942738.

Almost surely, 2^201579381360 is an apocalyptic number.

201579381360 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 201579381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387516456288).

201579381360 is an abundant number, since it is smaller than the sum of its proper divisors (573453531216).

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

201579381360 is a wasteful number, since it uses less digits than its factorization.

201579381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69920 (or 69911 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 201579381360 in words is "two hundred one billion, five hundred seventy-nine million, three hundred eighty-one thousand, three hundred sixty".