101538492960960 has 448 divisors, whose sum is σ = 390796321743360. Its totient is φ = 24613693378560.

The previous prime is 101538492960901. The next prime is 101538492960973. The reversal of 101538492960960 is 69069294835101.

101538492960960 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 8 + 492 + 9 + 6 + 0 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1883000559 + ... + 1883054481.

Almost surely, 2^{101538492960960} is an apocalyptic number.

101538492960960 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 101538492960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195398160871680).

101538492960960 is an abundant number, since it is smaller than the sum of its proper divisors (289257828782400).

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

101538492960960 is a wasteful number, since it uses less digits than its factorization.

101538492960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73773 (or 73757 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 101538492960960 in words is "one hundred one trillion, five hundred thirty-eight billion, four hundred ninety-two million, nine hundred sixty thousand, nine hundred sixty".