109902458880 has 520 divisors, whose sum is σ = 398616915312. Its totient is φ = 28962717696.

The previous prime is 109902458867. The next prime is 109902458881. The reversal of 109902458880 is 88854209901.

109902458880 is a `hidden beast` number, since 109 + 9 + 0 + 2 + 458 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109902458881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160911019 + ... + 160911701.

Almost surely, 2^109902458880 is an apocalyptic number.

109902458880 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 109902458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199308457656).

109902458880 is an abundant number, since it is smaller than the sum of its proper divisors (288714456432).

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

109902458880 is an frugal number, since it uses more digits than its factorization.

109902458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 109902458880 in words is "one hundred nine billion, nine hundred two million, four hundred fifty-eight thousand, eight hundred eighty".