87969617840 has 80 divisors (see below), whose sum is σ = 220481200800. Its totient is φ = 32448823296.

The previous prime is 87969617837. The next prime is 87969617849. The reversal of 87969617840 is 4871696978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (87969617849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018256 + ... + 1101264.

It is an arithmetic number, because the mean of its divisors is an integer number (2756015010).

Almost surely, 2^87969617840 is an apocalyptic number.

87969617840 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 87969617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110240600400).

87969617840 is an abundant number, since it is smaller than the sum of its proper divisors (132511582960).

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

87969617840 is a wasteful number, since it uses less digits than its factorization.

87969617840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84054 (or 84048 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 65.

The spelling of 87969617840 in words is "eighty-seven billion, nine hundred sixty-nine million, six hundred seventeen thousand, eight hundred forty".