864528215040 has 1848 divisors, whose sum is σ = 3764689939440. Its totient is φ = 189621927936.

The previous prime is 864528214969. The next prime is 864528215093. The reversal of 864528215040 is 40512825468.

864528215040 is a `hidden beast` number, since 8 + 6 + 452 + 8 + 2 + 150 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5303853999 + ... + 5303854161.

Almost surely, 2^864528215040 is an apocalyptic number.

864528215040 is a gapful number since it is divisible by the number (80) 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 864528215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882344969720).

864528215040 is an abundant number, since it is smaller than the sum of its proper divisors (2900161724400).

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

864528215040 is a wasteful number, since it uses less digits than its factorization.

864528215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 864528215040 in words is "eight hundred sixty-four billion, five hundred twenty-eight million, two hundred fifteen thousand, forty".