35990950750272 has 2240 divisors, whose sum is σ = 139492273029120. Its totient is φ = 8933538594816.

The previous prime is 35990950750259. The next prime is 35990950750301. The reversal of 35990950750272 is 27205705909953.

35990950750272 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 0 + 9 + 50 + 7 + 502 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 93971150593 + ... + 93971150975.

Almost surely, 2^{35990950750272} is an apocalyptic number.

35990950750272 is a gapful number since it is divisible by the number (32) 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 35990950750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746136514560).

35990950750272 is an abundant number, since it is smaller than the sum of its proper divisors (103501322278848).

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

35990950750272 is a wasteful number, since it uses less digits than its factorization.

35990950750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 35990950750272 in words is "thirty-five trillion, nine hundred ninety billion, nine hundred fifty million, seven hundred fifty thousand, two hundred seventy-two".