87934253658880 has 144 divisors (see below), whose sum is σ = 217879015001760. Its totient is φ = 33976849268736.

The previous prime is 87934253658877. The next prime is 87934253658883. The reversal of 87934253658880 is 8885635243978.

It is an interprime number because it is at equal distance from previous prime (87934253658877) and next prime (87934253658883).

It is a junction number, because it is equal to n+sod(n) for n = 87934253658797 and 87934253658806.

It is not an unprimeable number, because it can be changed into a prime (87934253658883) 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, 95809 + ... + 13261888.

It is an arithmetic number, because the mean of its divisors is an integer number (1513048715290).

Almost surely, 2^{87934253658880} is an apocalyptic number.

87934253658880 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 87934253658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108939507500880).

87934253658880 is an abundant number, since it is smaller than the sum of its proper divisors (129944761342880).

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

87934253658880 is a wasteful number, since it uses less digits than its factorization.

87934253658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357894 (or 13357880 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 76.

The spelling of 87934253658880 in words is "eighty-seven trillion, nine hundred thirty-four billion, two hundred fifty-three million, six hundred fifty-eight thousand, eight hundred eighty".