83486760000 has 560 divisors, whose sum is σ = 332125685760. Its totient is φ = 18074880000.

The previous prime is 83486759971. The next prime is 83486760017. The reversal of 83486760000 is 6768438.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15957385 + ... + 15962615.

Almost surely, 2^83486760000 is an apocalyptic number.

83486760000 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 83486760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166062842880).

83486760000 is an abundant number, since it is smaller than the sum of its proper divisors (248638925760).

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

83486760000 is a wasteful number, since it uses less digits than its factorization.

83486760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 83486760000 in words is "eighty-three billion, four hundred eighty-six million, seven hundred sixty thousand".