87137820720 has 120 divisors (see below), whose sum is σ = 309851882496. Its totient is φ = 21869881344.

The previous prime is 87137820709. The next prime is 87137820727. The reversal of 87137820720 is 2702873178.

It is a happy number.

87137820720 is a `hidden beast` number, since 8 + 71 + 378 + 207 + 2 + 0 = 666.

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

It is a super-2 number, since 2×87137820720² (a number of 23 digits) contains 22 as substring.

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 (87137820727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3547312 + ... + 3571791.

Almost surely, 2^87137820720 is an apocalyptic number.

87137820720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87137820720 is an abundant number, since it is smaller than the sum of its proper divisors (222714061776).

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

87137820720 is a wasteful number, since it uses less digits than its factorization.

87137820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119139 (or 7119130 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 87137820720 in words is "eighty-seven billion, one hundred thirty-seven million, eight hundred twenty thousand, seven hundred twenty".