35465785749504 has 1040 divisors, whose sum is σ = 117774814316544. Its totient is φ = 10544902963200.

The previous prime is 35465785749479. The next prime is 35465785749517. The reversal of 35465785749504 is 40594758756453.

35465785749504 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 5 + 78 + 5 + 7 + 49 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57856093902 + ... + 57856094514.

Almost surely, 2^{35465785749504} 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 35465785749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58887407158272).

35465785749504 is an abundant number, since it is smaller than the sum of its proper divisors (82309028567040).

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

35465785749504 is a wasteful number, since it uses less digits than its factorization.

35465785749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 2540160000, while the sum is 72.

The spelling of 35465785749504 in words is "thirty-five trillion, four hundred sixty-five billion, seven hundred eighty-five million, seven hundred forty-nine thousand, five hundred four".