101595543920640 has 4032 divisors, whose sum is σ = 498427290915840. Its totient is φ = 18811327610880.

The previous prime is 101595543920617. The next prime is 101595543920677. The reversal of 101595543920640 is 46029345595101.

It is a happy number.

101595543920640 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 9 + 5 + 543 + 92 + 0 + 6 + 4 + 0 = 666.

101595543920640 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 (4032).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64179117289 + ... + 64179118871.

Almost surely, 2^{101595543920640} is an apocalyptic number.

101595543920640 is a gapful number since it is divisible by the number (10) 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 101595543920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249213645457920).

101595543920640 is an abundant number, since it is smaller than the sum of its proper divisors (396831746995200).

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

101595543920640 is a wasteful number, since it uses less digits than its factorization.

101595543920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 101595543920640 in words is "one hundred one trillion, five hundred ninety-five billion, five hundred forty-three million, nine hundred twenty thousand, six hundred forty".