10091046113280 has 1664 divisors, whose sum is σ = 43250241392640. Its totient is φ = 2201789399040.

The previous prime is 10091046113261. The next prime is 10091046113341. The reversal of 10091046113280 is 8231164019001.

10091046113280 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 0 + 4 + 611 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2378278839 + ... + 2378283081.

Almost surely, 2^{10091046113280} is an apocalyptic number.

10091046113280 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 10091046113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625120696320).

10091046113280 is an abundant number, since it is smaller than the sum of its proper divisors (33159195279360).

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

10091046113280 is a wasteful number, since it uses less digits than its factorization.

10091046113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10091046113280 in words is "ten trillion, ninety-one billion, forty-six million, one hundred thirteen thousand, two hundred eighty".