84529152000 has 384 divisors, whose sum is σ = 304884024120. Its totient is φ = 22531276800.

The previous prime is 84529151981. The next prime is 84529152007. The reversal of 84529152000 is 25192548.

84529152000 is a `hidden beast` number, since 8 + 45 + 2 + 91 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16945790976 + 67583361024 = 130176^2 + 259968^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84529152007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36862854 + ... + 36865146.

Almost surely, 2^84529152000 is an apocalyptic number.

84529152000 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 84529152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152442012060).

84529152000 is an abundant number, since it is smaller than the sum of its proper divisors (220354872120).

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

84529152000 is an equidigital number, since it uses as much as digits as its factorization.

84529152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 84529152000 in words is "eighty-four billion, five hundred twenty-nine million, one hundred fifty-two thousand".