84235958138880 has 480 divisors, whose sum is σ = 315055144404000. Its totient is φ = 21486268514304.

The previous prime is 84235958138777. The next prime is 84235958138909. The reversal of 84235958138880 is 8883185953248.

It is a happy number.

84235958138880 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 5 + 9 + 581 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84235958138799 and 84235958138808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16869346 + ... + 21284894.

It is an arithmetic number, because the mean of its divisors is an integer number (656364884175).

Almost surely, 2^{84235958138880} is an apocalyptic number.

84235958138880 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 84235958138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157527572202000).

84235958138880 is an abundant number, since it is smaller than the sum of its proper divisors (230819186265120).

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

84235958138880 is a wasteful number, since it uses less digits than its factorization.

84235958138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415611 (or 4415582 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 84235958138880 in words is "eighty-four trillion, two hundred thirty-five billion, nine hundred fifty-eight million, one hundred thirty-eight thousand, eight hundred eighty".