87702693120 has 648 divisors, whose sum is σ = 354962593440. Its totient is φ = 19934208000.

The previous prime is 87702693103. The next prime is 87702693121. The reversal of 87702693120 is 2139620778.

87702693120 is a `hidden beast` number, since 8 + 7 + 70 + 269 + 312 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87702693121) 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 71 ways as a sum of consecutive naturals, for example, 141684171 + ... + 141684789.

It is an arithmetic number, because the mean of its divisors is an integer number (547781780).

Almost surely, 2^87702693120 is an apocalyptic number.

87702693120 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 87702693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

87702693120 is an abundant number, since it is smaller than the sum of its proper divisors (267259900320).

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

87702693120 is a wasteful number, since it uses less digits than its factorization.

87702693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 87702693120 in words is "eighty-seven billion, seven hundred two million, six hundred ninety-three thousand, one hundred twenty".