215001054400 has 168 divisors, whose sum is σ = 577597584960. Its totient is φ = 78119040000.

The previous prime is 215001054391. The next prime is 215001054407. The reversal of 215001054400 is 4450100512.

It is a super-2 number, since 2×215001054400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (215001054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25533391 + ... + 25541809.

Almost surely, 2^215001054400 is an apocalyptic number.

215001054400 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 215001054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288798792480).

215001054400 is an abundant number, since it is smaller than the sum of its proper divisors (362596530560).

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

215001054400 is a wasteful number, since it uses less digits than its factorization.

215001054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 215001054400 its reverse (4450100512), we get a palindrome (219451154912).

The spelling of 215001054400 in words is "two hundred fifteen billion, one million, fifty-four thousand, four hundred".