109477752975360 has 7488 divisors, whose sum is σ = 554806976532480. Its totient is φ = 20214448128000.

The previous prime is 109477752975359. The next prime is 109477752975373. The reversal of 109477752975360 is 63579257774901.

109477752975360 is a `hidden beast` number, since 1 + 0 + 9 + 47 + 7 + 7 + 529 + 7 + 53 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2670189096940 + ... + 2670189096980.

Almost surely, 2^{109477752975360} is an apocalyptic number.

109477752975360 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 109477752975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277403488266240).

109477752975360 is an abundant number, since it is smaller than the sum of its proper divisors (445329223557120).

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

109477752975360 is a wasteful number, since it uses less digits than its factorization.

109477752975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 700131600, while the sum is 72.

The spelling of 109477752975360 in words is "one hundred nine trillion, four hundred seventy-seven billion, seven hundred fifty-two million, nine hundred seventy-five thousand, three hundred sixty".