202087091299968 has 768 divisors, whose sum is σ = 695277105868800. Its totient is φ = 57232731561984.

The previous prime is 202087091299897. The next prime is 202087091299979. The reversal of 202087091299968 is 869992190780202.

202087091299968 is a `hidden beast` number, since 2 + 0 + 208 + 70 + 9 + 1 + 299 + 9 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202087091299896 and 202087091299905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21685486413 + ... + 21685495731.

It is an arithmetic number, because the mean of its divisors is an integer number (905308731600).

Almost surely, 2^{202087091299968} is an apocalyptic number.

202087091299968 is a gapful number since it is divisible by the number (28) 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 202087091299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347638552934400).

202087091299968 is an abundant number, since it is smaller than the sum of its proper divisors (493190014568832).

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

202087091299968 is an equidigital number, since it uses as much as digits as its factorization.

202087091299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 202087091299968 in words is "two hundred two trillion, eighty-seven billion, ninety-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".