201766250651152 has 80 divisors (see below), whose sum is σ = 435632197254912. Its totient is φ = 89760174277760.

The previous prime is 201766250651113. The next prime is 201766250651171. The reversal of 201766250651152 is 251156052667102.

It is a super-3 number, since 3×201766250651152³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201766250651096 and 201766250651105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62979178 + ... + 66105289.

Almost surely, 2^{201766250651152} is an apocalyptic number.

201766250651152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201766250651152 is an abundant number, since it is smaller than the sum of its proper divisors (233865946603760).

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

201766250651152 is a wasteful number, since it uses less digits than its factorization.

201766250651152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129084676 (or 129084670 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 201766250651152 in words is "two hundred one trillion, seven hundred sixty-six billion, two hundred fifty million, six hundred fifty-one thousand, one hundred fifty-two".