82554877440 has 240 divisors, whose sum is σ = 326755791648. Its totient is φ = 18869649408.

The previous prime is 82554877423. The next prime is 82554877451. The reversal of 82554877440 is 4477845528.

82554877440 is a `hidden beast` number, since 8 + 2 + 55 + 487 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94657 + ... + 417216.

Almost surely, 2^82554877440 is an apocalyptic number.

82554877440 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 82554877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163377895824).

82554877440 is an abundant number, since it is smaller than the sum of its proper divisors (244200914208).

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

82554877440 is a wasteful number, since it uses less digits than its factorization.

82554877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511909 (or 511890 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 82554877440 in words is "eighty-two billion, five hundred fifty-four million, eight hundred seventy-seven thousand, four hundred forty".