215141672229120 has 864 divisors, whose sum is σ = 950076373838592. Its totient is φ = 45392522674176.

The previous prime is 215141672229101. The next prime is 215141672229163. The reversal of 215141672229120 is 21922276141512.

215141672229120 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 416 + 7 + 2 + 229 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24504174 + ... + 32105106.

Almost surely, 2^{215141672229120} is an apocalyptic number.

215141672229120 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 215141672229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475038186919296).

215141672229120 is an abundant number, since it is smaller than the sum of its proper divisors (734934701609472).

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

215141672229120 is an equidigital number, since it uses as much as digits as its factorization.

215141672229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600989 (or 7600963 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 215141672229120 in words is "two hundred fifteen trillion, one hundred forty-one billion, six hundred seventy-two million, two hundred twenty-nine thousand, one hundred twenty".