101640889728 has 576 divisors, whose sum is σ = 362204060400. Its totient is φ = 27200323584.

The previous prime is 101640889697. The next prime is 101640889771. The reversal of 101640889728 is 827988046101.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104033176 + ... + 104034152.

Almost surely, 2^101640889728 is an apocalyptic number.

101640889728 is a gapful number since it is divisible by the number (18) 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 101640889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181102030200).

101640889728 is an abundant number, since it is smaller than the sum of its proper divisors (260563170672).

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

101640889728 is a wasteful number, since it uses less digits than its factorization.

101640889728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 101640889728 in words is "one hundred one billion, six hundred forty million, eight hundred eighty-nine thousand, seven hundred twenty-eight".