83380878496440 has 576 divisors, whose sum is σ = 320306061497760. Its totient is φ = 18753957734400.

The previous prime is 83380878496429. The next prime is 83380878496441. The reversal of 83380878496440 is 4469487808338.

83380878496440 is a `hidden beast` number, since 8 + 3 + 380 + 87 + 84 + 96 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83380878496441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 290263762 + ... + 290550878.

Almost surely, 2^{83380878496440} 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 83380878496440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160153030748880).

83380878496440 is an abundant number, since it is smaller than the sum of its proper divisors (236925183001320).

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

83380878496440 is a wasteful number, since it uses less digits than its factorization.

83380878496440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287412 (or 287398 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 83380878496440 in words is "eighty-three trillion, three hundred eighty billion, eight hundred seventy-eight million, four hundred ninety-six thousand, four hundred forty".