201956813760 has 224 divisors, whose sum is σ = 703568255040. Its totient is φ = 48774316032.

The previous prime is 201956813719. The next prime is 201956813797. The reversal of 201956813760 is 67318659102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508776 + ... + 814104.

It is an arithmetic number, because the mean of its divisors is an integer number (3140929710).

Almost surely, 2^201956813760 is an apocalyptic number.

201956813760 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 201956813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351784127520).

201956813760 is an abundant number, since it is smaller than the sum of its proper divisors (501611441280).

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

201956813760 is a wasteful number, since it uses less digits than its factorization.

201956813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305415 (or 305405 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 201956813760 in words is "two hundred one billion, nine hundred fifty-six million, eight hundred thirteen thousand, seven hundred sixty".