87745521864 has 512 divisors, whose sum is σ = 303367680000. Its totient is φ = 20840601600.

The previous prime is 87745521803. The next prime is 87745521881. The reversal of 87745521864 is 46812554778.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154209772 + ... + 154210340.

It is an arithmetic number, because the mean of its divisors is an integer number (592515000).

Almost surely, 2^87745521864 is an apocalyptic number.

87745521864 is a gapful number since it is divisible by the number (84) 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 87745521864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840000).

87745521864 is an abundant number, since it is smaller than the sum of its proper divisors (215622158136).

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

87745521864 is a wasteful number, since it uses less digits than its factorization.

87745521864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 736 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 57.

The spelling of 87745521864 in words is "eighty-seven billion, seven hundred forty-five million, five hundred twenty-one thousand, eight hundred sixty-four".