201081976623360 has 3240 divisors, whose sum is σ = 895983864076224. Its totient is φ = 42924117196800.

The previous prime is 201081976623329. The next prime is 201081976623361. The reversal of 201081976623360 is 63326679180102.

201081976623360 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 8 + 1 + 9 + 7 + 6 + 623 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×201081976623360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 201081976623297 and 201081976623306.

It is not an unprimeable number, because it can be changed into a prime (201081976623361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 221700084027 + ... + 221700084933.

Almost surely, 2^{201081976623360} is an apocalyptic number.

201081976623360 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 201081976623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447991932038112).

201081976623360 is an abundant number, since it is smaller than the sum of its proper divisors (694901887452864).

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

201081976623360 is a wasteful number, since it uses less digits than its factorization.

201081976623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 201081976623360 in words is "two hundred one trillion, eighty-one billion, nine hundred seventy-six million, six hundred twenty-three thousand, three hundred sixty".