35996940457920 has 2016 divisors, whose sum is σ = 149765539472640. Its totient is φ = 8195212247040.

The previous prime is 35996940457901. The next prime is 35996940457931. The reversal of 35996940457920 is 2975404969953.

35996940457920 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 6 + 9 + 40 + 4 + 579 + 2 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 13180862955 + ... + 13180865685.

It is an arithmetic number, because the mean of its divisors is an integer number (74288462040).

Almost surely, 2^{35996940457920} is an apocalyptic number.

35996940457920 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 35996940457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74882769736320).

35996940457920 is an abundant number, since it is smaller than the sum of its proper divisors (113768599014720).

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

35996940457920 is a wasteful number, since it uses less digits than its factorization.

35996940457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 35996940457920 in words is "thirty-five trillion, nine hundred ninety-six billion, nine hundred forty million, four hundred fifty-seven thousand, nine hundred twenty".