35497222656000 has 832 divisors, whose sum is σ = 135143303233536. Its totient is φ = 8104722432000.

The previous prime is 35497222655981. The next prime is 35497222656019. The reversal of 35497222656000 is 65622279453.

It is an interprime number because it is at equal distance from previous prime (35497222655981) and next prime (35497222656019).

It is a congruent number.

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, 19471871089 + ... + 19471872911.

It is an arithmetic number, because the mean of its divisors is an integer number (162431854848).

Almost surely, 2^{35497222656000} is an apocalyptic number.

35497222656000 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 35497222656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67571651616768).

35497222656000 is an abundant number, since it is smaller than the sum of its proper divisors (99646080577536).

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

35497222656000 is a wasteful number, since it uses less digits than its factorization.

35497222656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 35497222656000 in words is "thirty-five trillion, four hundred ninety-seven billion, two hundred twenty-two million, six hundred fifty-six thousand".