84110744424960 has 1120 divisors, whose sum is σ = 340495330475520. Its totient is φ = 19732576665600.

The previous prime is 84110744424953. The next prime is 84110744425079. The reversal of 84110744424960 is 6942444701148.

84110744424960 is a `hidden beast` number, since 8 + 4 + 1 + 107 + 4 + 4 + 42 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84110744424897 and 84110744424906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 636321756 + ... + 636453924.

Almost surely, 2^{84110744424960} is an apocalyptic number.

84110744424960 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 84110744424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170247665237760).

84110744424960 is an abundant number, since it is smaller than the sum of its proper divisors (256384586050560).

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

84110744424960 is a wasteful number, since it uses less digits than its factorization.

84110744424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132252 (or 132221 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84110744424960 in words is "eighty-four trillion, one hundred ten billion, seven hundred forty-four million, four hundred twenty-four thousand, nine hundred sixty".