87689197440 has 384 divisors, whose sum is σ = 328215232800. Its totient is φ = 21444673536.

The previous prime is 87689197429. The next prime is 87689197451. The reversal of 87689197440 is 4479198678.

It is an interprime number because it is at equal distance from previous prime (87689197429) and next prime (87689197451).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11752431 + ... + 11759889.

Almost surely, 2^87689197440 is an apocalyptic number.

87689197440 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 87689197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164107616400).

87689197440 is an abundant number, since it is smaller than the sum of its proper divisors (240526035360).

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

87689197440 is a wasteful number, since it uses less digits than its factorization.

87689197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 87689197440 in words is "eighty-seven billion, six hundred eighty-nine million, one hundred ninety-seven thousand, four hundred forty".