87126736320 has 672 divisors, whose sum is σ = 339232158720. Its totient is φ = 21155696640.

The previous prime is 87126736313. The next prime is 87126736327. The reversal of 87126736320 is 2363762178.

87126736320 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 6 + 7 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87126736313) and next prime (87126736327).

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 (87126736327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79858975 + ... + 79860065.

It is an arithmetic number, because the mean of its divisors is an integer number (504809760).

Almost surely, 2^87126736320 is an apocalyptic number.

87126736320 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 87126736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169616079360).

87126736320 is an abundant number, since it is smaller than the sum of its proper divisors (252105422400).

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

87126736320 is a wasteful number, since it uses less digits than its factorization.

87126736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 87126736320 in words is "eighty-seven billion, one hundred twenty-six million, seven hundred thirty-six thousand, three hundred twenty".