101780507215872 has 288 divisors, whose sum is σ = 301020334655040. Its totient is φ = 33113245777920.

The previous prime is 101780507215823. The next prime is 101780507215901. The reversal of 101780507215872 is 278512705087101.

101780507215872 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 8 + 0 + 50 + 7 + 2 + 1 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083404422 + ... + 1083498362.

It is an arithmetic number, because the mean of its divisors is an integer number (1045209495330).

Almost surely, 2^{101780507215872} is an apocalyptic number.

101780507215872 is a gapful number since it is divisible by the number (12) 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 101780507215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150510167327520).

101780507215872 is an abundant number, since it is smaller than the sum of its proper divisors (199239827439168).

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

101780507215872 is a wasteful number, since it uses less digits than its factorization.

101780507215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95379 (or 95356 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 54.

The spelling of 101780507215872 in words is "one hundred one trillion, seven hundred eighty billion, five hundred seven million, two hundred fifteen thousand, eight hundred seventy-two".