82954080000 has 540 divisors, whose sum is σ = 326108430648. Its totient is φ = 20106240000.

The previous prime is 82954079983. The next prime is 82954080017. The reversal of 82954080000 is 8045928.

It is an interprime number because it is at equal distance from previous prime (82954079983) and next prime (82954080017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15837382 + ... + 15842618.

Almost surely, 2^82954080000 is an apocalyptic number.

82954080000 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 82954080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163054215324).

82954080000 is an abundant number, since it is smaller than the sum of its proper divisors (243154350648).

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

82954080000 is a wasteful number, since it uses less digits than its factorization.

82954080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 82954080000 in words is "eighty-two billion, nine hundred fifty-four million, eighty thousand".