83875970880 has 1344 divisors, whose sum is σ = 353411942400. Its totient is φ = 18632540160.

The previous prime is 83875970837. The next prime is 83875970933. The reversal of 83875970880 is 8807957838.

It is a happy number.

83875970880 is a `hidden beast` number, since 8 + 38 + 7 + 597 + 0 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 769504266 + ... + 769504374.

Almost surely, 2^83875970880 is an apocalyptic number.

83875970880 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 83875970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176705971200).

83875970880 is an abundant number, since it is smaller than the sum of its proper divisors (269535971520).

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

83875970880 is a wasteful number, since it uses less digits than its factorization.

83875970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 83875970880 in words is "eighty-three billion, eight hundred seventy-five million, nine hundred seventy thousand, eight hundred eighty".