84919127040 has 1056 divisors, whose sum is σ = 341429774400. Its totient is φ = 19322634240.

The previous prime is 84919127021. The next prime is 84919127077. The reversal of 84919127040 is 4072191948.

It is a happy number.

84919127040 is a `hidden beast` number, since 8 + 491 + 91 + 2 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×84919127040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779074506 + ... + 779074614.

It is an arithmetic number, because the mean of its divisors is an integer number (323323650).

Almost surely, 2^84919127040 is an apocalyptic number.

84919127040 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 84919127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170714887200).

84919127040 is an abundant number, since it is smaller than the sum of its proper divisors (256510647360).

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

84919127040 is a wasteful number, since it uses less digits than its factorization.

84919127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 84919127040 in words is "eighty-four billion, nine hundred nineteen million, one hundred twenty-seven thousand, forty".