84897945600 has 1152 divisors, whose sum is σ = 333209298240. Its totient is φ = 18874368000.

The previous prime is 84897945569. The next prime is 84897945611. The reversal of 84897945600 is 654979848.

It is a super-2 number, since 2×84897945600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1391769570 + ... + 1391769630.

Almost surely, 2^84897945600 is an apocalyptic number.

84897945600 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 84897945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166604649120).

84897945600 is an abundant number, since it is smaller than the sum of its proper divisors (248311352640).

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

84897945600 is a wasteful number, since it uses less digits than its factorization.

84897945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 84897945600 in words is "eighty-four billion, eight hundred ninety-seven million, nine hundred forty-five thousand, six hundred".