201157660000 has 360 divisors, whose sum is σ = 550010027952. Its totient is φ = 72336000000.

The previous prime is 201157659961. The next prime is 201157660007. The reversal of 201157660000 is 66751102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201157660007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 244419589 + ... + 244420411.

Almost surely, 2^201157660000 is an apocalyptic number.

201157660000 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 201157660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275005013976).

201157660000 is an abundant number, since it is smaller than the sum of its proper divisors (348852367952).

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

201157660000 is a wasteful number, since it uses less digits than its factorization.

201157660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 201157660000 in words is "two hundred one billion, one hundred fifty-seven million, six hundred sixty thousand".