201651624720 has 1080 divisors, whose sum is σ = 881363089152. Its totient is φ = 41136076800.

The previous prime is 201651624697. The next prime is 201651624739. The reversal of 201651624720 is 27426156102.

It is a happy number.

201651624720 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 5 + 1 + 624 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 184831375 + ... + 184832465.

Almost surely, 2^201651624720 is an apocalyptic number.

201651624720 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 201651624720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440681544576).

201651624720 is an abundant number, since it is smaller than the sum of its proper divisors (679711464432).

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

201651624720 is a wasteful number, since it uses less digits than its factorization.

201651624720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 201651624720 in words is "two hundred one billion, six hundred fifty-one million, six hundred twenty-four thousand, seven hundred twenty".