35960228136504 has 1536 divisors, whose sum is σ = 128036605132800. Its totient is φ = 9230744033280.

The previous prime is 35960228136473. The next prime is 35960228136551. The reversal of 35960228136504 is 40563182206953.

It is a happy number.

35960228136504 is a `hidden beast` number, since 3 + 5 + 9 + 6 + 0 + 22 + 81 + 36 + 504 = 666.

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 383 ways as a sum of consecutive naturals, for example, 59242550169 + ... + 59242550775.

It is an arithmetic number, because the mean of its divisors is an integer number (83357164800).

Almost surely, 2^{35960228136504} 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 35960228136504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018302566400).

35960228136504 is an abundant number, since it is smaller than the sum of its proper divisors (92076376996296).

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

35960228136504 is a wasteful number, since it uses less digits than its factorization.

35960228136504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 35960228136504 in words is "thirty-five trillion, nine hundred sixty billion, two hundred twenty-eight million, one hundred thirty-six thousand, five hundred four".