87010091440 has 40 divisors (see below), whose sum is σ = 203144944320. Its totient is φ = 34658405376.

The previous prime is 87010091431. The next prime is 87010091471. The reversal of 87010091440 is 4419001078.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×87010091440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87010091396 and 87010091405.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2256249 + ... + 2294488.

It is an arithmetic number, because the mean of its divisors is an integer number (5078623608).

Almost surely, 2^87010091440 is an apocalyptic number.

87010091440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87010091440 is an abundant number, since it is smaller than the sum of its proper divisors (116134852880).

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

87010091440 is a wasteful number, since it uses less digits than its factorization.

87010091440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550989 (or 4550983 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 87010091440 in words is "eighty-seven billion, ten million, ninety-one thousand, four hundred forty".