87150716640 has 768 divisors, whose sum is σ = 342860636160. Its totient is φ = 20530298880.

The previous prime is 87150716633. The next prime is 87150716651. The reversal of 87150716640 is 4661705178.

87150716640 is a `hidden beast` number, since 8 + 71 + 507 + 16 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 196728259 + ... + 196728701.

It is an arithmetic number, because the mean of its divisors is an integer number (446433120).

Almost surely, 2^87150716640 is an apocalyptic number.

87150716640 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 87150716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171430318080).

87150716640 is an abundant number, since it is smaller than the sum of its proper divisors (255709919520).

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

87150716640 is a wasteful number, since it uses less digits than its factorization.

87150716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 87150716640 in words is "eighty-seven billion, one hundred fifty million, seven hundred sixteen thousand, six hundred forty".