200913162240 has 832 divisors, whose sum is σ = 807724339200. Its totient is φ = 41575514112.

The previous prime is 200913162209. The next prime is 200913162257. The reversal of 200913162240 is 42261319002.

200913162240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200913162240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 200913162198 and 200913162207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187944426 + ... + 187945494.

Almost surely, 2^200913162240 is an apocalyptic number.

200913162240 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 200913162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403862169600).

200913162240 is an abundant number, since it is smaller than the sum of its proper divisors (606811176960).

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

200913162240 is a wasteful number, since it uses less digits than its factorization.

200913162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 200913162240 in words is "two hundred billion, nine hundred thirteen million, one hundred sixty-two thousand, two hundred forty".