86921950390440 has 256 divisors, whose sum is σ = 301232131200000. Its totient is φ = 19830704148480.

The previous prime is 86921950390433. The next prime is 86921950390501. The reversal of 86921950390440 is 4409305912968.

It is a super-2 number, since 2×86921950390440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262360011 + ... + 262691109.

It is an arithmetic number, because the mean of its divisors is an integer number (1176688012500).

Almost surely, 2^{86921950390440} 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 86921950390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150616065600000).

86921950390440 is an abundant number, since it is smaller than the sum of its proper divisors (214310180809560).

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

86921950390440 is a wasteful number, since it uses less digits than its factorization.

86921950390440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342840 (or 342836 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 86921950390440 in words is "eighty-six trillion, nine hundred twenty-one billion, nine hundred fifty million, three hundred ninety thousand, four hundred forty".