120525953856 has 336 divisors, whose sum is σ = 407680558272. Its totient is φ = 31073280000.

The previous prime is 120525953839. The next prime is 120525953897. The reversal of 120525953856 is 658359525021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 120525953799 and 120525953808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14173606 + ... + 14182106.

Almost surely, 2^120525953856 is an apocalyptic number.

120525953856 is a gapful number since it is divisible by the number (16) 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 120525953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203840279136).

120525953856 is an abundant number, since it is smaller than the sum of its proper divisors (287154604416).

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

120525953856 is a wasteful number, since it uses less digits than its factorization.

120525953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 120525953856 in words is "one hundred twenty billion, five hundred twenty-five million, nine hundred fifty-three thousand, eight hundred fifty-six".