107940288960 has 1568 divisors, whose sum is σ = 479730816000. Its totient is φ = 23044331520.

The previous prime is 107940288931. The next prime is 107940288991. The reversal of 107940288960 is 69882049701.

107940288960 is a `hidden beast` number, since 1 + 0 + 79 + 402 + 88 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a super-2 number, since 2×107940288960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107940288897 and 107940288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1520285725 + ... + 1520285795.

Almost surely, 2^107940288960 is an apocalyptic number.

107940288960 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 107940288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865408000).

107940288960 is an abundant number, since it is smaller than the sum of its proper divisors (371790527040).

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

107940288960 is an frugal number, since it uses more digits than its factorization.

107940288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 107940 and 288960, that added together give a square (396900 = 630²).

The spelling of 107940288960 in words is "one hundred seven billion, nine hundred forty million, two hundred eighty-eight thousand, nine hundred sixty".