84688262400860 has 96 divisors (see below), whose sum is σ = 183458625960960. Its totient is φ = 32814309600000.

The previous prime is 84688262400857. The next prime is 84688262400883. The reversal of 84688262400860 is 6800426288648.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84688262400793 and 84688262400802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436577771 + ... + 436771709.

It is an arithmetic number, because the mean of its divisors is an integer number (1911027353760).

Almost surely, 2^{84688262400860} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84688262400860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91729312980480).

84688262400860 is an abundant number, since it is smaller than the sum of its proper divisors (98770363560100).

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

84688262400860 is a wasteful number, since it uses less digits than its factorization.

84688262400860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196587 (or 196585 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 62.

The spelling of 84688262400860 in words is "eighty-four trillion, six hundred eighty-eight billion, two hundred sixty-two million, four hundred thousand, eight hundred sixty".