82649548800 has 1728 divisors, whose sum is σ = 382971738240. Its totient is φ = 17199267840.

The previous prime is 82649548799. The next prime is 82649548801. The reversal of 82649548800 is 884594628.

It is an interprime number because it is at equal distance from previous prime (82649548799) and next prime (82649548801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82649548801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1132185564 + ... + 1132185636.

Almost surely, 2^82649548800 is an apocalyptic number.

82649548800 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 82649548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191485869120).

82649548800 is an abundant number, since it is smaller than the sum of its proper divisors (300322189440).

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

82649548800 is a wasteful number, since it uses less digits than its factorization.

82649548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 82649548800 in words is "eighty-two billion, six hundred forty-nine million, five hundred forty-eight thousand, eight hundred".