82361149920 has 480 divisors, whose sum is σ = 335277835200. Its totient is φ = 18650456064.

The previous prime is 82361149909. The next prime is 82361149943. The reversal of 82361149920 is 2994116328.

82361149920 is a `hidden beast` number, since 8 + 2 + 3 + 611 + 4 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×82361149920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9884316 + ... + 9892644.

It is an arithmetic number, because the mean of its divisors is an integer number (698495490).

Almost surely, 2^82361149920 is an apocalyptic number.

82361149920 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 82361149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167638917600).

82361149920 is an abundant number, since it is smaller than the sum of its proper divisors (252916685280).

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

82361149920 is a wasteful number, since it uses less digits than its factorization.

82361149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 82361149920 in words is "eighty-two billion, three hundred sixty-one million, one hundred forty-nine thousand, nine hundred twenty".