84249538560 has 1040 divisors, whose sum is σ = 348236760960. Its totient is φ = 19349176320.

The previous prime is 84249538559. The next prime is 84249538561. The reversal of 84249538560 is 6583594248.

84249538560 is a `hidden beast` number, since 8 + 4 + 2 + 49 + 5 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (84249538559) and next prime (84249538561).

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

It is a junction number, because it is equal to n+sod(n) for n = 84249538497 and 84249538506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84249538561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4434186231 + ... + 4434186249.

Almost surely, 2^84249538560 is an apocalyptic number.

84249538560 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 84249538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174118380480).

84249538560 is an abundant number, since it is smaller than the sum of its proper divisors (263987222400).

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

84249538560 is an frugal number, since it uses more digits than its factorization.

84249538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 84249538560 in words is "eighty-four billion, two hundred forty-nine million, five hundred thirty-eight thousand, five hundred sixty".