8158050900480 has 320 divisors, whose sum is σ = 28155255448320. Its totient is φ = 2003215712256.

The previous prime is 8158050900457. The next prime is 8158050900487. The reversal of 8158050900480 is 840090508518.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8158050900487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40734669 + ... + 40934451.

It is an arithmetic number, because the mean of its divisors is an integer number (87985173276).

Almost surely, 2^{8158050900480} is an apocalyptic number.

8158050900480 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 8158050900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14077627724160).

8158050900480 is an abundant number, since it is smaller than the sum of its proper divisors (19997204547840).

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

8158050900480 is a wasteful number, since it uses less digits than its factorization.

8158050900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200231 (or 200215 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 8158050900480 in words is "eight trillion, one hundred fifty-eight billion, fifty million, nine hundred thousand, four hundred eighty".