35850428640000 has 2160 divisors, whose sum is σ = 144850748922880. Its totient is φ = 8465264640000.

The previous prime is 35850428639941. The next prime is 35850428640053. The reversal of 35850428640000 is 4682405853.

35850428640000 is a `hidden beast` number, since 3 + 585 + 0 + 4 + 2 + 8 + 64 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94592159811 + ... + 94592160189.

Almost surely, 2^{35850428640000} is an apocalyptic number.

35850428640000 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 35850428640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72425374461440).

35850428640000 is an abundant number, since it is smaller than the sum of its proper divisors (109000320282880).

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

35850428640000 is a wasteful number, since it uses less digits than its factorization.

35850428640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 35850428640000 in words is "thirty-five trillion, eight hundred fifty billion, four hundred twenty-eight million, six hundred forty thousand".