87341722463520 has 1536 divisors, whose sum is σ = 360187604582400. Its totient is φ = 19598968811520.

The previous prime is 87341722463507. The next prime is 87341722463537. The reversal of 87341722463520 is 2536422714378.

87341722463520 is a `hidden beast` number, since 8 + 7 + 3 + 4 + 1 + 72 + 2 + 46 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46781853627 + ... + 46781855493.

It is an arithmetic number, because the mean of its divisors is an integer number (234497138400).

Almost surely, 2^{87341722463520} is an apocalyptic number.

87341722463520 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 87341722463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180093802291200).

87341722463520 is an abundant number, since it is smaller than the sum of its proper divisors (272845882118880).

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

87341722463520 is a wasteful number, since it uses less digits than its factorization.

87341722463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 87341722463520 in words is "eighty-seven trillion, three hundred forty-one billion, seven hundred twenty-two million, four hundred sixty-three thousand, five hundred twenty".