87434910920448 has 864 divisors, whose sum is σ = 335229057072000. Its totient is φ = 21703257096192.

The previous prime is 87434910920377. The next prime is 87434910920449. The reversal of 87434910920448 is 84402901943478.

87434910920448 is a `hidden beast` number, since 8 + 7 + 43 + 49 + 109 + 2 + 0 + 448 = 666.

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 (87434910920449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174399798 + ... + 174900426.

Almost surely, 2^{87434910920448} 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 87434910920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167614528536000).

87434910920448 is an abundant number, since it is smaller than the sum of its proper divisors (247794146151552).

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

87434910920448 is a wasteful number, since it uses less digits than its factorization.

87434910920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500702 (or 500671 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 87434910920448 in words is "eighty-seven trillion, four hundred thirty-four billion, nine hundred ten million, nine hundred twenty thousand, four hundred forty-eight".