215351296000 has 336 divisors, whose sum is σ = 565324800768. Its totient is φ = 81788928000.

The previous prime is 215351295979. The next prime is 215351296007. The reversal of 215351296000 is 692153512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215351296007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4063231974 + ... + 4063232026.

It is an arithmetic number, because the mean of its divisors is an integer number (1682514288).

Almost surely, 2^215351296000 is an apocalyptic number.

215351296000 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 215351296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282662400384).

215351296000 is an abundant number, since it is smaller than the sum of its proper divisors (349973504768).

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

215351296000 is an frugal number, since it uses more digits than its factorization.

215351296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 215351296000 in words is "two hundred fifteen billion, three hundred fifty-one million, two hundred ninety-six thousand".