86954322668928 has 1024 divisors, whose sum is σ = 287898355261440. Its totient is φ = 22878535680000.

The previous prime is 86954322668921. The next prime is 86954322668929. The reversal of 86954322668928 is 82986622345968.

It is a super-2 number, since 2×86954322668928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86954322668921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18695831403 + ... + 18695836053.

It is an arithmetic number, because the mean of its divisors is an integer number (281150737560).

Almost surely, 2^{86954322668928} is an apocalyptic number.

86954322668928 is a gapful number since it is divisible by the number (88) 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 86954322668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143949177630720).

86954322668928 is an abundant number, since it is smaller than the sum of its proper divisors (200944032592512).

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

86954322668928 is a wasteful number, since it uses less digits than its factorization.

86954322668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4947 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 78.

The spelling of 86954322668928 in words is "eighty-six trillion, nine hundred fifty-four billion, three hundred twenty-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".