10109883280224 has 384 divisors, whose sum is σ = 34404468940800. Its totient is φ = 2580328396800.

The previous prime is 10109883280223. The next prime is 10109883280261. The reversal of 10109883280224 is 42208238890101.

It is a super-2 number, since 2×10109883280224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109883280223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12889054 + ... + 13650914.

It is an arithmetic number, because the mean of its divisors is an integer number (89594971200).

Almost surely, 2^{10109883280224} is an apocalyptic number.

10109883280224 is a gapful number since it is divisible by the number (14) 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 10109883280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17202234470400).

10109883280224 is an abundant number, since it is smaller than the sum of its proper divisors (24294585660576).

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

10109883280224 is a wasteful number, since it uses less digits than its factorization.

10109883280224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761939 (or 761917 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 10109883280224 in words is "ten trillion, one hundred nine billion, eight hundred eighty-three million, two hundred eighty thousand, two hundred twenty-four".