35720055589680 has 960 divisors, whose sum is σ = 156591370368000. Its totient is φ = 7422266234880.

The previous prime is 35720055589663. The next prime is 35720055589703. The reversal of 35720055589680 is 8698555002753.

35720055589680 is a `hidden beast` number, since 3 + 5 + 72 + 0 + 0 + 5 + 558 + 9 + 6 + 8 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 399289596 + ... + 399379044.

It is an arithmetic number, because the mean of its divisors is an integer number (163116010800).

Almost surely, 2^{35720055589680} is an apocalyptic number.

35720055589680 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 35720055589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78295685184000).

35720055589680 is an abundant number, since it is smaller than the sum of its proper divisors (120871314778320).

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

35720055589680 is an equidigital number, since it uses as much as digits as its factorization.

35720055589680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89517 (or 89477 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 35720055589680 in words is "thirty-five trillion, seven hundred twenty billion, fifty-five million, five hundred eighty-nine thousand, six hundred eighty".