87313008640 has 192 divisors, whose sum is σ = 246130073280. Its totient is φ = 29307371520.

The previous prime is 87313008637. The next prime is 87313008773. The reversal of 87313008640 is 4680031378.

It is a super-2 number, since 2×87313008640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 87313008593 and 87313008602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434507 + ... + 1494133.

It is an arithmetic number, because the mean of its divisors is an integer number (1281927465).

Almost surely, 2^87313008640 is an apocalyptic number.

87313008640 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 87313008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123065036640).

87313008640 is an abundant number, since it is smaller than the sum of its proper divisors (158817064640).

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

87313008640 is a wasteful number, since it uses less digits than its factorization.

87313008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59678 (or 59658 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 87313008640 in words is "eighty-seven billion, three hundred thirteen million, eight thousand, six hundred forty".