120387526560 has 960 divisors, whose sum is σ = 502828204032. Its totient is φ = 26665583616.

The previous prime is 120387526559. The next prime is 120387526613. The reversal of 120387526560 is 65625783021.

120387526560 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 87 + 5 + 2 + 6 + 560 = 666.

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 159 ways as a sum of consecutive naturals, for example, 947933217 + ... + 947933343.

Almost surely, 2^120387526560 is an apocalyptic number.

120387526560 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 120387526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251414102016).

120387526560 is an abundant number, since it is smaller than the sum of its proper divisors (382440677472).

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

120387526560 is an frugal number, since it uses more digits than its factorization.

120387526560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 120387526560 in words is "one hundred twenty billion, three hundred eighty-seven million, five hundred twenty-six thousand, five hundred sixty".