120653597997504 has 672 divisors, whose sum is σ = 414160927165440. Its totient is φ = 33100014182400.

The previous prime is 120653597997469. The next prime is 120653597997533. The reversal of 120653597997504 is 405799795356021.

120653597997504 is a `hidden beast` number, since 1 + 2 + 0 + 65 + 3 + 59 + 7 + 9 + 9 + 7 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1263724489 + ... + 1263819959.

It is an arithmetic number, because the mean of its divisors is an integer number (616310903520).

Almost surely, 2^{120653597997504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120653597997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207080463582720).

120653597997504 is an abundant number, since it is smaller than the sum of its proper divisors (293507329167936).

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

120653597997504 is a wasteful number, since it uses less digits than its factorization.

120653597997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95809 (or 95796 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 120653597997504 in words is "one hundred twenty trillion, six hundred fifty-three billion, five hundred ninety-seven million, nine hundred ninety-seven thousand, five hundred four".