87735730320 has 120 divisors (see below), whose sum is σ = 336738108096. Its totient is φ = 20053880064.

The previous prime is 87735730309. The next prime is 87735730331. The reversal of 87735730320 is 2303753778.

87735730320 is a `hidden beast` number, since 8 + 7 + 73 + 573 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87735730309) and next prime (87735730331).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8698902 + ... + 8708981.

Almost surely, 2^87735730320 is an apocalyptic number.

87735730320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87735730320 is an abundant number, since it is smaller than the sum of its proper divisors (249002377776).

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

87735730320 is a wasteful number, since it uses less digits than its factorization.

87735730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407909 (or 17407900 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 87735730320 in words is "eighty-seven billion, seven hundred thirty-five million, seven hundred thirty thousand, three hundred twenty".