82911144960 has 528 divisors, whose sum is σ = 329657919552. Its totient is φ = 18874368000.

The previous prime is 82911144959. The next prime is 82911144961. The reversal of 82911144960 is 6944111928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82911144959) and next prime (82911144961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82911144961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129346240 + ... + 129346880.

Almost surely, 2^82911144960 is an apocalyptic number.

82911144960 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 82911144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828959776).

82911144960 is an abundant number, since it is smaller than the sum of its proper divisors (246746774592).

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

82911144960 is a wasteful number, since it uses less digits than its factorization.

82911144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 82911144960 in words is "eighty-two billion, nine hundred eleven million, one hundred forty-four thousand, nine hundred sixty".