87071293440 has 416 divisors, whose sum is σ = 313451676810. Its totient is φ = 23219011584.

The previous prime is 87071293391. The next prime is 87071293451. The reversal of 87071293440 is 4439217078.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (3!)¹⁰ ⋅ 2!.

87071293440 is a `hidden beast` number, since 87 + 0 + 7 + 129 + 3 + 440 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78364164096 + 8707129344 = 279936^2 + 93312^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 17414258686 + ... + 17414258690.

Almost surely, 2^87071293440 is an apocalyptic number.

87071293440 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 87071293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156725838405).

87071293440 is an abundant number, since it is smaller than the sum of its proper divisors (226380383370).

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

87071293440 is an frugal number, since it uses more digits than its factorization.

87071293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

87071293440 divided by its sum of digits (45) gives a 5-th power (1934917632 = 72⁵).

The spelling of 87071293440 in words is "eighty-seven billion, seventy-one million, two hundred ninety-three thousand, four hundred forty".