35072221795920 has 240 divisors, whose sum is σ = 121852046684160. Its totient is φ = 9029621615616.

The previous prime is 35072221795907. The next prime is 35072221795997. The reversal of 35072221795920 is 2959712227053.

35072221795920 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 22 + 21 + 7 + 9 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603966727 + ... + 604024793.

It is an arithmetic number, because the mean of its divisors is an integer number (507716861184).

Almost surely, 2^{35072221795920} is an apocalyptic number.

35072221795920 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 35072221795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60926023342080).

35072221795920 is an abundant number, since it is smaller than the sum of its proper divisors (86779824888240).

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

35072221795920 is a wasteful number, since it uses less digits than its factorization.

35072221795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87042 (or 87033 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 35072221795920 in words is "thirty-five trillion, seventy-two billion, two hundred twenty-one million, seven hundred ninety-five thousand, nine hundred twenty".