87073506720 has 144 divisors (see below), whose sum is σ = 310057517952. Its totient is φ = 22210045440.

The previous prime is 87073506719. The next prime is 87073506727. The reversal of 87073506720 is 2760537078.

87073506720 is a `hidden beast` number, since 8 + 7 + 0 + 73 + 506 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (87073506727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281396 + ... + 1347635.

It is an arithmetic number, because the mean of its divisors is an integer number (2153177208).

Almost surely, 2^87073506720 is an apocalyptic number.

87073506720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87073506720 is an abundant number, since it is smaller than the sum of its proper divisors (222984011232).

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

87073506720 is a wasteful number, since it uses less digits than its factorization.

87073506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629075 (or 2629064 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 87073506720 in words is "eighty-seven billion, seventy-three million, five hundred six thousand, seven hundred twenty".