109213715520 has 336 divisors, whose sum is σ = 462339171840. Its totient is φ = 23042838528.

The previous prime is 109213715461. The next prime is 109213715563. The reversal of 109213715520 is 25517312901.

109213715520 is a `hidden beast` number, since 1 + 0 + 92 + 1 + 37 + 15 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×109213715520³ (a number of 34 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 53721 + ... + 470439.

It is an arithmetic number, because the mean of its divisors is an integer number (1376009440).

Almost surely, 2^109213715520 is an apocalyptic number.

109213715520 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 109213715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231169585920).

109213715520 is an abundant number, since it is smaller than the sum of its proper divisors (353125456320).

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

109213715520 is a wasteful number, since it uses less digits than its factorization.

109213715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416762 (or 416749 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 109213715520 in words is "one hundred nine billion, two hundred thirteen million, seven hundred fifteen thousand, five hundred twenty".