120598575552 has 672 divisors, whose sum is σ = 461598044544. Its totient is φ = 29196288000.

The previous prime is 120598575547. The next prime is 120598575653. The reversal of 120598575552 is 255575895021.

120598575552 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 9 + 85 + 7 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36532302 + ... + 36535602.

It is an arithmetic number, because the mean of its divisors is an integer number (686901852).

Almost surely, 2^120598575552 is an apocalyptic number.

120598575552 is a gapful number since it is divisible by the number (12) 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 120598575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230799022272).

120598575552 is an abundant number, since it is smaller than the sum of its proper divisors (340999468992).

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

120598575552 is a wasteful number, since it uses less digits than its factorization.

120598575552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 6300000, while the sum is 54.

The spelling of 120598575552 in words is "one hundred twenty billion, five hundred ninety-eight million, five hundred seventy-five thousand, five hundred fifty-two".