109757652480 has 640 divisors, whose sum is σ = 457680706560. Its totient is φ = 24405442560.

The previous prime is 109757652479. The next prime is 109757652503. The reversal of 109757652480 is 84256757901.

109757652480 is a `hidden beast` number, since 1 + 0 + 97 + 5 + 76 + 5 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17899015 + ... + 17905145.

It is an arithmetic number, because the mean of its divisors is an integer number (715126104).

Almost surely, 2^109757652480 is an apocalyptic number.

109757652480 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 109757652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228840353280).

109757652480 is an abundant number, since it is smaller than the sum of its proper divisors (347923054080).

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

109757652480 is an equidigital number, since it uses as much as digits as its factorization.

109757652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 109757652480 in words is "one hundred nine billion, seven hundred fifty-seven million, six hundred fifty-two thousand, four hundred eighty".