82978025195520 has 1152 divisors, whose sum is σ = 357089545612800. Its totient is φ = 17352320090112.

The previous prime is 82978025195509. The next prime is 82978025195561. The reversal of 82978025195520 is 2559152087928.

82978025195520 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 80 + 25 + 1 + 9 + 5 + 520 = 666.

82978025195520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947637501 + ... + 947725059.

It is an arithmetic number, because the mean of its divisors is an integer number (309973563900).

Almost surely, 2^{82978025195520} is an apocalyptic number.

82978025195520 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 82978025195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178544772806400).

82978025195520 is an abundant number, since it is smaller than the sum of its proper divisors (274111520417280).

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

82978025195520 is a wasteful number, since it uses less digits than its factorization.

82978025195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87725 (or 87702 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 82978025195520 in words is "eighty-two trillion, nine hundred seventy-eight billion, twenty-five million, one hundred ninety-five thousand, five hundred twenty".