87267353217408 has 576 divisors, whose sum is σ = 323093577053520. Its totient is φ = 22393516400640.

The previous prime is 87267353217403. The next prime is 87267353217449. The reversal of 87267353217408 is 80471235376278.

It is a happy number.

87267353217408 is a `hidden beast` number, since 8 + 7 + 2 + 6 + 7 + 3 + 5 + 3 + 217 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87267353217403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25544443 + ... + 28758533.

Almost surely, 2^{87267353217408} 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 87267353217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161546788526760).

87267353217408 is an abundant number, since it is smaller than the sum of its proper divisors (235826223836112).

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

87267353217408 is a wasteful number, since it uses less digits than its factorization.

87267353217408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214175 (or 3214153 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 87267353217408 in words is "eighty-seven trillion, two hundred sixty-seven billion, three hundred fifty-three million, two hundred seventeen thousand, four hundred eight".