215006400000 has 1440 divisors, whose sum is σ = 930870420480. Its totient is φ = 48522240000.

The previous prime is 215006399957. The next prime is 215006400043. The reversal of 215006400000 is 4600512.

It is a happy number.

215006400000 is a `hidden beast` number, since 21 + 5 + 0 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (215006399957) and next prime (215006400043).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2721599961 + ... + 2721600039.

It is an arithmetic number, because the mean of its divisors is an integer number (646437792).

Almost surely, 2^215006400000 is an apocalyptic number.

215006400000 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 215006400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465435210240).

215006400000 is an abundant number, since it is smaller than the sum of its proper divisors (715864020480).

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

215006400000 is an frugal number, since it uses more digits than its factorization.

215006400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 215006400000 in words is "two hundred fifteen billion, six million, four hundred thousand".