109125698400 has 864 divisors, whose sum is σ = 412988442048. Its totient is φ = 27072921600.

The previous prime is 109125698347. The next prime is 109125698417. The reversal of 109125698400 is 4896521901.

109125698400 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 569 + 84 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1059472749 + ... + 1059472851.

It is an arithmetic number, because the mean of its divisors is an integer number (477995882).

Almost surely, 2^109125698400 is an apocalyptic number.

109125698400 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 109125698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206494221024).

109125698400 is an abundant number, since it is smaller than the sum of its proper divisors (303862743648).

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

109125698400 is a wasteful number, since it uses less digits than its factorization.

109125698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 109125698400 in words is "one hundred nine billion, one hundred twenty-five million, six hundred ninety-eight thousand, four hundred".