84156367120 has 640 divisors, whose sum is σ = 255983616000. Its totient is φ = 25604812800.

The previous prime is 84156367111. The next prime is 84156367159. The reversal of 84156367120 is 2176365148.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 662648497 + ... + 662648623.

It is an arithmetic number, because the mean of its divisors is an integer number (399974400).

Almost surely, 2^84156367120 is an apocalyptic number.

84156367120 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 84156367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991808000).

84156367120 is an abundant number, since it is smaller than the sum of its proper divisors (171827248880).

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

84156367120 is a wasteful number, since it uses less digits than its factorization.

84156367120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 84156367120 in words is "eighty-four billion, one hundred fifty-six million, three hundred sixty-seven thousand, one hundred twenty".