215552551523100 has 288 divisors, whose sum is σ = 720560314688256. Its totient is φ = 49169262489600.

The previous prime is 215552551523093. The next prime is 215552551523107. The reversal of 215552551523100 is 1325155255512.

It is an interprime number because it is at equal distance from previous prime (215552551523093) and next prime (215552551523107).

It is a super-2 number, since 2×215552551523100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215552551523107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229147927 + ... + 230086673.

It is an arithmetic number, because the mean of its divisors is an integer number (2501945537112).

Almost surely, 2^{215552551523100} is an apocalyptic number.

215552551523100 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 215552551523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360280157344128).

215552551523100 is an abundant number, since it is smaller than the sum of its proper divisors (505007763165156).

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

215552551523100 is a wasteful number, since it uses less digits than its factorization.

215552551523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942885 (or 942878 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 42.

The spelling of 215552551523100 in words is "two hundred fifteen trillion, five hundred fifty-two billion, five hundred fifty-one million, five hundred twenty-three thousand, one hundred".