201155202990720 has 1024 divisors, whose sum is σ = 818560947456000. Its totient is φ = 46172031713280.

The previous prime is 201155202990719. The next prime is 201155202990743. The reversal of 201155202990720 is 27099202551102.

201155202990720 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 552 + 0 + 2 + 9 + 90 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×201155202990720² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 6742692924 + ... + 6742722756.

It is an arithmetic number, because the mean of its divisors is an integer number (799375925250).

Almost surely, 2^{201155202990720} is an apocalyptic number.

201155202990720 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 201155202990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409280473728000).

201155202990720 is an abundant number, since it is smaller than the sum of its proper divisors (617405744465280).

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

201155202990720 is a wasteful number, since it uses less digits than its factorization.

201155202990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31758 (or 31740 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 201155202990720 in words is "two hundred one trillion, one hundred fifty-five billion, two hundred two million, nine hundred ninety thousand, seven hundred twenty".