109804696502400 has 768 divisors, whose sum is σ = 410358208012800. Its totient is φ = 28667014041600.

The previous prime is 109804696502351. The next prime is 109804696502411. The reversal of 109804696502400 is 4205696408901.

109804696502400 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 4 + 6 + 96 + 502 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 943516215 + ... + 943632585.

It is an arithmetic number, because the mean of its divisors is an integer number (534320583350).

Almost surely, 2^{109804696502400} is an apocalyptic number.

109804696502400 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 109804696502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205179104006400).

109804696502400 is an abundant number, since it is smaller than the sum of its proper divisors (300553511510400).

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

109804696502400 is a wasteful number, since it uses less digits than its factorization.

109804696502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116634 (or 116611 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 109804696502400 in words is "one hundred nine trillion, eight hundred four billion, six hundred ninety-six million, five hundred two thousand, four hundred".