109770998020992 has 1728 divisors, whose sum is σ = 422989160630400. Its totient is φ = 28230246696960.

The previous prime is 109770998020963. The next prime is 109770998021023. The reversal of 109770998020992 is 299020899077901.

109770998020992 is a `hidden beast` number, since 109 + 7 + 70 + 99 + 80 + 209 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 109770998020992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18994805559 + ... + 18994811337.

Almost surely, 2^{109770998020992} is an apocalyptic number.

109770998020992 is a gapful number since it is divisible by the number (12) 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 109770998020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211494580315200).

109770998020992 is an abundant number, since it is smaller than the sum of its proper divisors (313218162609408).

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

109770998020992 is a wasteful number, since it uses less digits than its factorization.

109770998020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 72.

The spelling of 109770998020992 in words is "one hundred nine trillion, seven hundred seventy billion, nine hundred ninety-eight million, twenty thousand, nine hundred ninety-two".