8283077038080 has 1664 divisors, whose sum is σ = 32860541091840. Its totient is φ = 1966449623040.

The previous prime is 8283077038079. The next prime is 8283077038099. The reversal of 8283077038080 is 808307703828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×8283077038080³ (a number of 40 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39256289175 + ... + 39256289385.

Almost surely, 2^{8283077038080} is an apocalyptic number.

8283077038080 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 8283077038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430270545920).

8283077038080 is an abundant number, since it is smaller than the sum of its proper divisors (24577464053760).

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

8283077038080 is a wasteful number, since it uses less digits than its factorization.

8283077038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 8283077038080 in words is "eight trillion, two hundred eighty-three billion, seventy-seven million, thirty-eight thousand, eighty".