10903177584016 has 75 divisors (see below), whose sum is σ = 21854511130155. Its totient is φ = 5269589376480.

The previous prime is 10903177583971. The next prime is 10903177584031. The reversal of 10903177584016 is 61048577130901.

The square root of 10903177584016 is 3301996.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12692872195 + ... + 12692873053.

Almost surely, 2^{10903177584016} is an apocalyptic number.

10903177584016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10903177584016 is the 3301996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10903177584016

10903177584016 is an abundant number, since it is smaller than the sum of its proper divisors (10951333546139).

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

10903177584016 is an frugal number, since it uses more digits than its factorization.

10903177584016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 10903177584016 in words is "ten trillion, nine hundred three billion, one hundred seventy-seven million, five hundred eighty-four thousand, sixteen".