215173442826240 has 832 divisors, whose sum is σ = 757286860953600. Its totient is φ = 51922182602752.

The previous prime is 215173442826217. The next prime is 215173442826347. The reversal of 215173442826240 is 42628244371512.

It is a super-2 number, since 2×215173442826240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7239276019 + ... + 7239305741.

Almost surely, 2^{215173442826240} is an apocalyptic number.

215173442826240 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 215173442826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378643430476800).

215173442826240 is an abundant number, since it is smaller than the sum of its proper divisors (542113418127360).

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

215173442826240 is a wasteful number, since it uses less digits than its factorization.

215173442826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30040 (or 30018 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 215173442826240 in words is "two hundred fifteen trillion, one hundred seventy-three billion, four hundred forty-two million, eight hundred twenty-six thousand, two hundred forty".