107939472480000 has 3240 divisors, whose sum is σ = 475190578614752. Its totient is φ = 23944605696000.

The previous prime is 107939472479983. The next prime is 107939472480041. The reversal of 107939472480000 is 84274939701.

107939472480000 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 94 + 72 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 359 ways as a sum of consecutive naturals, for example, 271887839802 + ... + 271887840198.

Almost surely, 2^{107939472480000} is an apocalyptic number.

107939472480000 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 107939472480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237595289307376).

107939472480000 is an abundant number, since it is smaller than the sum of its proper divisors (367251106134752).

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

107939472480000 is an frugal number, since it uses more digits than its factorization.

107939472480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 107939472480000 in words is "one hundred seven trillion, nine hundred thirty-nine billion, four hundred seventy-two million, four hundred eighty thousand".