84519731400 has 192 divisors, whose sum is σ = 283245621120. Its totient is φ = 20725248000.

The previous prime is 84519731381. The next prime is 84519731437. The reversal of 84519731400 is 413791548.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2030800 + ... + 2072000.

It is an arithmetic number, because the mean of its divisors is an integer number (1475237610).

Almost surely, 2^84519731400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84519731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622810560).

84519731400 is an abundant number, since it is smaller than the sum of its proper divisors (198725889720).

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

84519731400 is a wasteful number, since it uses less digits than its factorization.

84519731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41496 (or 41487 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 84519731400 in words is "eighty-four billion, five hundred nineteen million, seven hundred thirty-one thousand, four hundred".