201577481280 has 1568 divisors, whose sum is σ = 887502009600. Its totient is φ = 42568187904.

The previous prime is 201577481279. The next prime is 201577481309. The reversal of 201577481280 is 82184775102.

201577481280 is a `hidden beast` number, since 20 + 1 + 5 + 77 + 481 + 2 + 80 = 666.

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 223 ways as a sum of consecutive naturals, for example, 2264915476 + ... + 2264915564.

Almost surely, 2^201577481280 is an apocalyptic number.

201577481280 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 201577481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443751004800).

201577481280 is an abundant number, since it is smaller than the sum of its proper divisors (685924528320).

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

201577481280 is an equidigital number, since it uses as much as digits as its factorization.

201577481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 201577481280 in words is "two hundred one billion, five hundred seventy-seven million, four hundred eighty-one thousand, two hundred eighty".