87719849360 has 480 divisors, whose sum is σ = 253198794240. Its totient is φ = 27855360000.

The previous prime is 87719849333. The next prime is 87719849377. The reversal of 87719849360 is 6394891778.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 87719849293 and 87719849302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868513310 + ... + 868513410.

It is an arithmetic number, because the mean of its divisors is an integer number (527497488).

Almost surely, 2^87719849360 is an apocalyptic number.

87719849360 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 87719849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126599397120).

87719849360 is an abundant number, since it is smaller than the sum of its proper divisors (165478944880).

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

87719849360 is a wasteful number, since it uses less digits than its factorization.

87719849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 87719849360 in words is "eighty-seven billion, seven hundred nineteen million, eight hundred forty-nine thousand, three hundred sixty".