86769245054850 has 96 divisors (see below), whose sum is σ = 224575597491840. Its totient is φ = 22129302666240.

The previous prime is 86769245054837. The next prime is 86769245054897. The reversal of 86769245054850 is 5845054296768.

It is a super-3 number, since 3×86769245054850³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22564696 + ... + 26128604.

It is an arithmetic number, because the mean of its divisors is an integer number (2339329140540).

Almost surely, 2^{86769245054850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86769245054850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112287798745920).

86769245054850 is an abundant number, since it is smaller than the sum of its proper divisors (137806352436990).

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

86769245054850 is a wasteful number, since it uses less digits than its factorization.

86769245054850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571004 (or 3570999 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 69.

The spelling of 86769245054850 in words is "eighty-six trillion, seven hundred sixty-nine billion, two hundred forty-five million, fifty-four thousand, eight hundred fifty".