120095347680 has 768 divisors, whose sum is σ = 526727577600. Its totient is φ = 24827627520.

The previous prime is 120095347657. The next prime is 120095347703. The reversal of 120095347680 is 86743590021.

120095347680 is a `hidden beast` number, since 12 + 0 + 0 + 95 + 3 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (120095347657) and next prime (120095347703).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74177911 + ... + 74179529.

It is an arithmetic number, because the mean of its divisors is an integer number (685843200).

It is a 1-persistent number, because it is pandigital, but 2⋅120095347680 = 240190695360 is not.

Almost surely, 2^120095347680 is an apocalyptic number.

120095347680 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 120095347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263363788800).

120095347680 is an abundant number, since it is smaller than the sum of its proper divisors (406632229920).

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

120095347680 is a wasteful number, since it uses less digits than its factorization.

120095347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 120095347680 in words is "one hundred twenty billion, ninety-five million, three hundred forty-seven thousand, six hundred eighty".