86954921723904 has 384 divisors, whose sum is σ = 254196439136640. Its totient is φ = 26270289100800.

The previous prime is 86954921723899. The next prime is 86954921723947. The reversal of 86954921723904 is 40932712945968.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×86954921723904² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2811239319 + ... + 2811270249.

It is an arithmetic number, because the mean of its divisors is an integer number (661969893585).

It is a 1-persistent number, because it is pandigital, but 2⋅86954921723904 = 173909843447808 is not.

Almost surely, 2^{86954921723904} 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 86954921723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127098219568320).

86954921723904 is an abundant number, since it is smaller than the sum of its proper divisors (167241517412736).

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

86954921723904 is a wasteful number, since it uses less digits than its factorization.

86954921723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31607 (or 31587 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 86954921723904 in words is "eighty-six trillion, nine hundred fifty-four billion, nine hundred twenty-one million, seven hundred twenty-three thousand, nine hundred four".