82383137272800 has 2880 divisors, whose sum is σ = 408551405036544. Its totient is φ = 15647750553600.

The previous prime is 82383137272769. The next prime is 82383137272847. The reversal of 82383137272800 is 827273138328.

82383137272800 is a `hidden beast` number, since 8 + 23 + 8 + 313 + 7 + 27 + 280 + 0 = 666.

82383137272800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2305630935 + ... + 2305666665.

Almost surely, 2^{82383137272800} is an apocalyptic number.

82383137272800 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 82383137272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204275702518272).

82383137272800 is an abundant number, since it is smaller than the sum of its proper divisors (326168267763744).

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

82383137272800 is a wasteful number, since it uses less digits than its factorization.

82383137272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35823 (or 35801 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 82383137272800 in words is "eighty-two trillion, three hundred eighty-three billion, one hundred thirty-seven million, two hundred seventy-two thousand, eight hundred".