35961696000 has 864 divisors, whose sum is σ = 138782367360. Its totient is φ = 8921088000.

The previous prime is 35961695951. The next prime is 35961696037. The reversal of 35961696000 is 69616953.

35961696000 is a `hidden beast` number, since 35 + 9 + 6 + 1 + 6 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 404063956 + ... + 404064044.

It is an arithmetic number, because the mean of its divisors is an integer number (160627740).

Almost surely, 2^35961696000 is an apocalyptic number.

35961696000 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 35961696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69391183680).

35961696000 is an abundant number, since it is smaller than the sum of its proper divisors (102820671360).

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

35961696000 is a wasteful number, since it uses less digits than its factorization.

35961696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 35961696000 in words is "thirty-five billion, nine hundred sixty-one million, six hundred ninety-six thousand".