109977626808000 has 672 divisors, whose sum is σ = 454661463934080. Its totient is φ = 24855286579200.

The previous prime is 109977626807969. The next prime is 109977626808017. The reversal of 109977626808000 is 808626779901.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 43630104 + ... + 46081896.

Almost surely, 2^{109977626808000} is an apocalyptic number.

109977626808000 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 109977626808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227330731967040).

109977626808000 is an abundant number, since it is smaller than the sum of its proper divisors (344683837126080).

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

109977626808000 is a wasteful number, since it uses less digits than its factorization.

109977626808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451922 (or 2451899 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 109977626808000 in words is "one hundred nine trillion, nine hundred seventy-seven billion, six hundred twenty-six million, eight hundred eight thousand".