120638525670 has 288 divisors, whose sum is σ = 359770574592. Its totient is φ = 27975138048.

The previous prime is 120638525629. The next prime is 120638525723. The reversal of 120638525670 is 76525836021.

120638525670 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 3 + 85 + 2 + 567 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23436037 + ... + 23441183.

It is an arithmetic number, because the mean of its divisors is an integer number (1249203384).

Almost surely, 2^120638525670 is an apocalyptic number.

120638525670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120638525670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885287296).

120638525670 is an abundant number, since it is smaller than the sum of its proper divisors (239132048922).

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

120638525670 is a wasteful number, since it uses less digits than its factorization.

120638525670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5260 counting only the distinct ones).

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

The spelling of 120638525670 in words is "one hundred twenty billion, six hundred thirty-eight million, five hundred twenty-five thousand, six hundred seventy".