215096259840 has 864 divisors, whose sum is σ = 884558562048. Its totient is φ = 43578163200.

The previous prime is 215096259827. The next prime is 215096259853. The reversal of 215096259840 is 48952690512.

It is an interprime number because it is at equal distance from previous prime (215096259827) and next prime (215096259853).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133350874 + ... + 133352486.

It is an arithmetic number, because the mean of its divisors is an integer number (1023794632).

Almost surely, 2^215096259840 is an apocalyptic number.

215096259840 is a gapful number since it is divisible by the number (20) 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 215096259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442279281024).

215096259840 is an abundant number, since it is smaller than the sum of its proper divisors (669462302208).

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

215096259840 is a wasteful number, since it uses less digits than its factorization.

215096259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 215096259840 in words is "two hundred fifteen billion, ninety-six million, two hundred fifty-nine thousand, eight hundred forty".