84861772800 has 528 divisors, whose sum is σ = 328083858432. Its totient is φ = 18940723200.

The previous prime is 84861772727. The next prime is 84861772811. The reversal of 84861772800 is 827716848.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23114965 + ... + 23118635.

It is an arithmetic number, because the mean of its divisors is an integer number (621370944).

Almost surely, 2^84861772800 is an apocalyptic number.

84861772800 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 84861772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164041929216).

84861772800 is an abundant number, since it is smaller than the sum of its proper divisors (243222085632).

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

84861772800 is a wasteful number, since it uses less digits than its factorization.

84861772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 84861772800 in words is "eighty-four billion, eight hundred sixty-one million, seven hundred seventy-two thousand, eight hundred".