8216097557040 has 320 divisors, whose sum is σ = 28930205491200. Its totient is φ = 2142251836416.

The previous prime is 8216097557029. The next prime is 8216097557051. The reversal of 8216097557040 is 407557906128.

8216097557040 is a `hidden beast` number, since 8 + 2 + 1 + 60 + 9 + 7 + 5 + 570 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8216097557029) and next prime (8216097557051).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 105440334 + ... + 105518226.

It is an arithmetic number, because the mean of its divisors is an integer number (90406892160).

Almost surely, 2^{8216097557040} is an apocalyptic number.

8216097557040 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 8216097557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465102745600).

8216097557040 is an abundant number, since it is smaller than the sum of its proper divisors (20714107934160).

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

8216097557040 is a wasteful number, since it uses less digits than its factorization.

8216097557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79001 (or 78989 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 8216097557040 in words is "eight trillion, two hundred sixteen billion, ninety-seven million, five hundred fifty-seven thousand, forty".