87899374080 has 480 divisors, whose sum is σ = 359152155648. Its totient is φ = 19442073600.

The previous prime is 87899374061. The next prime is 87899374117. The reversal of 87899374080 is 8047399878.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 87899373999 and 87899374017.

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 47 ways as a sum of consecutive naturals, for example, 4990890 + ... + 5008470.

Almost surely, 2^87899374080 is an apocalyptic number.

87899374080 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 87899374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179576077824).

87899374080 is an abundant number, since it is smaller than the sum of its proper divisors (271252781568).

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

87899374080 is a wasteful number, since it uses less digits than its factorization.

87899374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648 (or 17629 counting only the distinct ones).

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

The spelling of 87899374080 in words is "eighty-seven billion, eight hundred ninety-nine million, three hundred seventy-four thousand, eighty".