120507851520 has 576 divisors, whose sum is σ = 501972387840. Its totient is φ = 26798211072.

The previous prime is 120507851501. The next prime is 120507851537. The reversal of 120507851520 is 25158705021.

120507851520 is a `hidden beast` number, since 1 + 2 + 0 + 50 + 7 + 85 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8944309 + ... + 8957771.

It is an arithmetic number, because the mean of its divisors is an integer number (871479840).

Almost surely, 2^120507851520 is an apocalyptic number.

120507851520 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 120507851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250986193920).

120507851520 is an abundant number, since it is smaller than the sum of its proper divisors (381464536320).

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

120507851520 is a wasteful number, since it uses less digits than its factorization.

120507851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537 (or 13517 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 120507851520 in words is "one hundred twenty billion, five hundred seven million, eight hundred fifty-one thousand, five hundred twenty".