109948677120 has 528 divisors, whose sum is σ = 414058644480. Its totient is φ = 26873856000.

The previous prime is 109948677071. The next prime is 109948677121. The reversal of 109948677120 is 21776849901.

109948677120 is a `hidden beast` number, since 1 + 0 + 99 + 486 + 7 + 71 + 2 + 0 = 666.

It is a super-2 number, since 2×109948677120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109948677121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27139095 + ... + 27143145.

Almost surely, 2^109948677120 is an apocalyptic number.

109948677120 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 109948677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207029322240).

109948677120 is an abundant number, since it is smaller than the sum of its proper divisors (304109967360).

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

109948677120 is a wasteful number, since it uses less digits than its factorization.

109948677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 109948677120 in words is "one hundred nine billion, nine hundred forty-eight million, six hundred seventy-seven thousand, one hundred twenty".