82401624120 has 256 divisors, whose sum is σ = 269650529280. Its totient is φ = 20063232000.

The previous prime is 82401624101. The next prime is 82401624131. The reversal of 82401624120 is 2142610428.

It is a super-2 number, since 2×82401624120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13242610 + ... + 13248830.

It is an arithmetic number, because the mean of its divisors is an integer number (1053322380).

Almost surely, 2^82401624120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82401624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134825264640).

82401624120 is an abundant number, since it is smaller than the sum of its proper divisors (187248905160).

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

82401624120 is a wasteful number, since it uses less digits than its factorization.

82401624120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 82401624120 in words is "eighty-two billion, four hundred one million, six hundred twenty-four thousand, one hundred twenty".