35869955520672 has 384 divisors, whose sum is σ = 130946399539200. Its totient is φ = 9299864337408.

The previous prime is 35869955520589. The next prime is 35869955520691. The reversal of 35869955520672 is 27602555996853.

It is a happy number.

35869955520672 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 9 + 9 + 5 + 552 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 35869955520672.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772533 + ... + 8505099.

It is an arithmetic number, because the mean of its divisors is an integer number (341006248800).

Almost surely, 2^{35869955520672} is an apocalyptic number.

35869955520672 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 35869955520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65473199769600).

35869955520672 is an abundant number, since it is smaller than the sum of its proper divisors (95076444018528).

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

35869955520672 is a wasteful number, since it uses less digits than its factorization.

35869955520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732665 (or 7732651 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 35869955520672 in words is "thirty-five trillion, eight hundred sixty-nine billion, nine hundred fifty-five million, five hundred twenty thousand, six hundred seventy-two".