87073654560 has 192 divisors, whose sum is σ = 295178857344. Its totient is φ = 21495398400.

The previous prime is 87073654531. The next prime is 87073654567. The reversal of 87073654560 is 6545637078.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (87073654567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410295 + ... + 585225.

It is an arithmetic number, because the mean of its divisors is an integer number (1537389882).

Almost surely, 2^87073654560 is an apocalyptic number.

87073654560 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 87073654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147589428672).

87073654560 is an abundant number, since it is smaller than the sum of its proper divisors (208105202784).

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

87073654560 is a wasteful number, since it uses less digits than its factorization.

87073654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175027 (or 175019 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 87073654560 in words is "eighty-seven billion, seventy-three million, six hundred fifty-four thousand, five hundred sixty".