215535142124000 has 192 divisors, whose sum is σ = 560858134217472. Its totient is φ = 81122798592000.

The previous prime is 215535142123997. The next prime is 215535142124009. The reversal of 215535142124000 is 421241535512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215535142124009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279162494 + ... + 279933506.

It is an arithmetic number, because the mean of its divisors is an integer number (2921136115716).

Almost surely, 2^{215535142124000} is an apocalyptic number.

215535142124000 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 215535142124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280429067108736).

215535142124000 is an abundant number, since it is smaller than the sum of its proper divisors (345322992093472).

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

215535142124000 is a wasteful number, since it uses less digits than its factorization.

215535142124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775166 (or 775148 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 215535142124000 its reverse (421241535512), we get a palindrome (215956383659512).

The spelling of 215535142124000 in words is "two hundred fifteen trillion, five hundred thirty-five billion, one hundred forty-two million, one hundred twenty-four thousand".