35874010368000 has 1152 divisors, whose sum is σ = 156472550357760. Its totient is φ = 7717375180800.

The previous prime is 35874010367999. The next prime is 35874010368023. The reversal of 35874010368000 is 86301047853.

35874010368000 is a `hidden beast` number, since 3 + 587 + 4 + 0 + 1 + 0 + 3 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274110579 + ... + 274241421.

It is an arithmetic number, because the mean of its divisors is an integer number (135826866630).

Almost surely, 2^{35874010368000} is an apocalyptic number.

35874010368000 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 35874010368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78236275178880).

35874010368000 is an abundant number, since it is smaller than the sum of its proper divisors (120598539989760).

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

35874010368000 is a wasteful number, since it uses less digits than its factorization.

35874010368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130910 (or 130877 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 35874010368000 in words is "thirty-five trillion, eight hundred seventy-four billion, ten million, three hundred sixty-eight thousand".