35960422417920 has 7680 divisors, whose sum is σ = 190257902714880. Its totient is φ = 6260533493760.

The previous prime is 35960422417897. The next prime is 35960422417991. The reversal of 35960422417920 is 2971422406953.

It is a happy number.

35960422417920 is a `hidden beast` number, since 3 + 5 + 9 + 604 + 2 + 2 + 4 + 1 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 455195220441 + ... + 455195220519.

It is an arithmetic number, because the mean of its divisors is an integer number (24773164416).

Almost surely, 2^{35960422417920} is an apocalyptic number.

35960422417920 is a gapful number since it is divisible by the number (30) 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 35960422417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95128951357440).

35960422417920 is an abundant number, since it is smaller than the sum of its proper divisors (154297480296960).

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

35960422417920 is a wasteful number, since it uses less digits than its factorization.

35960422417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 35960422417920 in words is "thirty-five trillion, nine hundred sixty billion, four hundred twenty-two million, four hundred seventeen thousand, nine hundred twenty".