87726976698880 has 160 divisors (see below), whose sum is σ = 217047835192320. Its totient is φ = 33980570910720.

The previous prime is 87726976698877. The next prime is 87726976698883. The reversal of 87726976698880 is 8889667962778.

It is an interprime number because it is at equal distance from previous prime (87726976698877) and next prime (87726976698883).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (87726976698883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17791201 + ... + 22180639.

It is an arithmetic number, because the mean of its divisors is an integer number (1356548969952).

Almost surely, 2^{87726976698880} is an apocalyptic number.

87726976698880 is a gapful number since it is divisible by the number (80) 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 87726976698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108523917596160).

87726976698880 is an abundant number, since it is smaller than the sum of its proper divisors (129320858493440).

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

87726976698880 is a wasteful number, since it uses less digits than its factorization.

87726976698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389710 (or 4389694 counting only the distinct ones).

The product of its (nonzero) digits is 49161240576, while the sum is 91.

The spelling of 87726976698880 in words is "eighty-seven trillion, seven hundred twenty-six billion, nine hundred seventy-six million, six hundred ninety-eight thousand, eight hundred eighty".