82553049613440 has 1152 divisors, whose sum is σ = 336619855728000. Its totient is φ = 18584596316160.

The previous prime is 82553049613427. The next prime is 82553049613451. The reversal of 82553049613440 is 4431694035528.

It is a happy number.

82553049613440 is a `hidden beast` number, since 8 + 2 + 5 + 530 + 4 + 9 + 61 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×82553049613440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31641642856 + ... + 31641645464.

It is an arithmetic number, because the mean of its divisors is an integer number (292204735875).

Almost surely, 2^{82553049613440} is an apocalyptic number.

82553049613440 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 82553049613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168309927864000).

82553049613440 is an abundant number, since it is smaller than the sum of its proper divisors (254066806114560).

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

82553049613440 is a wasteful number, since it uses less digits than its factorization.

82553049613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 82553049613440 in words is "eighty-two trillion, five hundred fifty-three billion, forty-nine million, six hundred thirteen thousand, four hundred forty".