87829914288990 has 64 divisors (see below), whose sum is σ = 216491360973120. Its totient is φ = 22788039859200.

The previous prime is 87829914288959. The next prime is 87829914289069. The reversal of 87829914288990 is 9988241992878.

It is a super-2 number, since 2×87829914288990² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107597506 + ... + 108410714.

It is an arithmetic number, because the mean of its divisors is an integer number (3382677515205).

Almost surely, 2^{87829914288990} is an apocalyptic number.

87829914288990 is an abundant number, since it is smaller than the sum of its proper divisors (128661446684130).

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

87829914288990 is a wasteful number, since it uses less digits than its factorization.

87829914288990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910557.

The product of its (nonzero) digits is 3009871872, while the sum is 84.

The spelling of 87829914288990 in words is "eighty-seven trillion, eight hundred twenty-nine billion, nine hundred fourteen million, two hundred eighty-eight thousand, nine hundred ninety".