82012379540 has 288 divisors, whose sum is σ = 230725442304. Its totient is φ = 23826677760.

The previous prime is 82012379539. The next prime is 82012379543. The reversal of 82012379540 is 4597321028.

It is a super-2 number, since 2×82012379540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82012379543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21563279 + ... + 21567081.

It is an arithmetic number, because the mean of its divisors is an integer number (801130008).

Almost surely, 2^82012379540 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 82012379540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115362721152).

82012379540 is an abundant number, since it is smaller than the sum of its proper divisors (148713062764).

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

82012379540 is a wasteful number, since it uses less digits than its factorization.

82012379540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 82012379540 in words is "eighty-two billion, twelve million, three hundred seventy-nine thousand, five hundred forty".