10001610516016 has 40 divisors (see below), whose sum is σ = 22258841726880. Its totient is φ = 4264646098944.

The previous prime is 10001610515999. The next prime is 10001610516031. The reversal of 10001610516016 is 61061501610001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226627921 + ... + 226672048.

It is an arithmetic number, because the mean of its divisors is an integer number (556471043172).

Almost surely, 2^{10001610516016} is an apocalyptic number.

10001610516016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10001610516016 is an abundant number, since it is smaller than the sum of its proper divisors (12257231210864).

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

10001610516016 is a wasteful number, since it uses less digits than its factorization.

10001610516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453300181 (or 453300175 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 10001610516016 in words is "ten trillion, one billion, six hundred ten million, five hundred sixteen thousand, sixteen".