87481971226368 has 360 divisors, whose sum is σ = 278452119496320. Its totient is φ = 27236779960320.

The previous prime is 87481971226319. The next prime is 87481971226379. The reversal of 87481971226368 is 86362217918478.

It is a happy number.

87481971226368 is a `hidden beast` number, since 8 + 7 + 48 + 197 + 12 + 26 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87481971226296 and 87481971226305.

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 39 ways as a sum of consecutive naturals, for example, 26409171 + ... + 29536557.

It is an arithmetic number, because the mean of its divisors is an integer number (773478109712).

Almost surely, 2^{87481971226368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87481971226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139226059748160).

87481971226368 is an abundant number, since it is smaller than the sum of its proper divisors (190970148269952).

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

87481971226368 is a wasteful number, since it uses less digits than its factorization.

87481971226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127505 (or 3127482 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 87481971226368 in words is "eighty-seven trillion, four hundred eighty-one billion, nine hundred seventy-one million, two hundred twenty-six thousand, three hundred sixty-eight".