8354088990720 has 672 divisors, whose sum is σ = 32786100088560. Its totient is φ = 2025213788160.

The previous prime is 8354088990697. The next prime is 8354088990739. The reversal of 8354088990720 is 270998804538.

8354088990720 is a `hidden beast` number, since 8 + 3 + 540 + 8 + 89 + 9 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×8354088990720² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82063692 + ... + 82165428.

Almost surely, 2^{8354088990720} is an apocalyptic number.

8354088990720 is a gapful number since it is divisible by the number (80) 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 8354088990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393050044280).

8354088990720 is an abundant number, since it is smaller than the sum of its proper divisors (24432011097840).

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

8354088990720 is a wasteful number, since it uses less digits than its factorization.

8354088990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101793 (or 101758 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 8354088990720 in words is "eight trillion, three hundred fifty-four billion, eighty-eight million, nine hundred ninety thousand, seven hundred twenty".