84152100480 has 512 divisors, whose sum is σ = 324898560000. Its totient is φ = 18097717248.

The previous prime is 84152100407. The next prime is 84152100511. The reversal of 84152100480 is 8400125148.

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, 40090471 + ... + 40092569.

It is an arithmetic number, because the mean of its divisors is an integer number (634567500).

Almost surely, 2^84152100480 is an apocalyptic number.

84152100480 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 84152100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162449280000).

84152100480 is an abundant number, since it is smaller than the sum of its proper divisors (240746459520).

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

84152100480 is a wasteful number, since it uses less digits than its factorization.

84152100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 84152100480 in words is "eighty-four billion, one hundred fifty-two million, one hundred thousand, four hundred eighty".