84535152839280 has 5120 divisors, whose sum is σ = 381679970918400. Its totient is φ = 16907304960000.

The previous prime is 84535152839219. The next prime is 84535152839327. The reversal of 84535152839280 is 8293825153548.

It is a happy number.

84535152839280 is a `hidden beast` number, since 8 + 4 + 5 + 3 + 51 + 528 + 39 + 28 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 836981711230 + ... + 836981711330.

It is an arithmetic number, because the mean of its divisors is an integer number (74546869320).

Almost surely, 2^{84535152839280} is an apocalyptic number.

84535152839280 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 84535152839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190839985459200).

84535152839280 is an abundant number, since it is smaller than the sum of its proper divisors (297144818079120).

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

84535152839280 is a wasteful number, since it uses less digits than its factorization.

84535152839280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 84535152839280 in words is "eighty-four trillion, five hundred thirty-five billion, one hundred fifty-two million, eight hundred thirty-nine thousand, two hundred eighty".