89876546640 has 240 divisors, whose sum is σ = 327972103680. Its totient is φ = 21973109760.

The previous prime is 89876546381. The next prime is 89876546653. The reversal of 89876546640 is 4664567898.

89876546640 is a `hidden beast` number, since 8 + 9 + 87 + 6 + 546 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318114 + ... + 530046.

It is an arithmetic number, because the mean of its divisors is an integer number (1366550432).

Almost surely, 2^89876546640 is an apocalyptic number.

89876546640 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 89876546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163986051840).

89876546640 is an abundant number, since it is smaller than the sum of its proper divisors (238095557040).

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

89876546640 is a wasteful number, since it uses less digits than its factorization.

89876546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212002 (or 211993 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 89876546640 in words is "eighty-nine billion, eight hundred seventy-six million, five hundred forty-six thousand, six hundred forty".