83919084480 has 1120 divisors, whose sum is σ = 391939637760. Its totient is φ = 16512491520.

The previous prime is 83919084433. The next prime is 83919084503. The reversal of 83919084480 is 8448091938.

83919084480 is a `hidden beast` number, since 8 + 3 + 9 + 190 + 8 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×83919084480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37919854 + ... + 37922066.

Almost surely, 2^83919084480 is an apocalyptic number.

83919084480 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 83919084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195969818880).

83919084480 is an abundant number, since it is smaller than the sum of its proper divisors (308020553280).

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

83919084480 is a wasteful number, since it uses less digits than its factorization.

83919084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 83919084480 in words is "eighty-three billion, nine hundred nineteen million, eighty-four thousand, four hundred eighty".