201151477889280 has 2880 divisors, whose sum is σ = 799021930291200. Its totient is φ = 48109792002048.

The previous prime is 201151477889269. The next prime is 201151477889291. The reversal of 201151477889280 is 82988774151102.

201151477889280 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 5 + 1 + 477 + 8 + 89 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (201151477889269) and next prime (201151477889291).

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1234058146479 + ... + 1234058146641.

It is an arithmetic number, because the mean of its divisors is an integer number (277438170240).

Almost surely, 2^{201151477889280} is an apocalyptic number.

201151477889280 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 201151477889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399510965145600).

201151477889280 is an abundant number, since it is smaller than the sum of its proper divisors (597870452401920).

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

201151477889280 is a wasteful number, since it uses less digits than its factorization.

201151477889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 201151477889280 in words is "two hundred one trillion, one hundred fifty-one billion, four hundred seventy-seven million, eight hundred eighty-nine thousand, two hundred eighty".