101580391296 has 576 divisors, whose sum is σ = 333201523200. Its totient is φ = 29588613120.

The previous prime is 101580391259. The next prime is 101580391343. The reversal of 101580391296 is 692193085101.

101580391296 is a `hidden beast` number, since 10 + 1 + 580 + 39 + 1 + 29 + 6 = 666.

101580391296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 358941171 + ... + 358941453.

Almost surely, 2^101580391296 is an apocalyptic number.

101580391296 is a gapful number since it is divisible by the number (16) 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 101580391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166600761600).

101580391296 is an abundant number, since it is smaller than the sum of its proper divisors (231621131904).

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

101580391296 is a wasteful number, since it uses less digits than its factorization.

101580391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 101580391296 in words is "one hundred one billion, five hundred eighty million, three hundred ninety-one thousand, two hundred ninety-six".