87709151906226 has 128 divisors (see below), whose sum is σ = 203920865280000. Its totient is φ = 27911626807680.

The previous prime is 87709151906177. The next prime is 87709151906231. The reversal of 87709151906226 is 62260915190778.

87709151906226 is a `hidden beast` number, since 8 + 7 + 7 + 0 + 91 + 519 + 0 + 6 + 2 + 26 = 666.

It is a super-3 number, since 3×87709151906226³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64734345 + ... + 66075363.

It is an arithmetic number, because the mean of its divisors is an integer number (1593131760000).

Almost surely, 2^{87709151906226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87709151906226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101960432640000).

87709151906226 is an abundant number, since it is smaller than the sum of its proper divisors (116211713373774).

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

87709151906226 is a wasteful number, since it uses less digits than its factorization.

87709151906226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341589 (or 1341583 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 87709151906226 in words is "eighty-seven trillion, seven hundred nine billion, one hundred fifty-one million, nine hundred six thousand, two hundred twenty-six".