89819969279040 has 5376 divisors, whose sum is σ = 454837365964800. Its totient is φ = 15744496435200.

The previous prime is 89819969279017. The next prime is 89819969279113. The reversal of 89819969279040 is 4097296991898.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 286964757924 + ... + 286964758236.

It is an arithmetic number, because the mean of its divisors is an integer number (84605164800).

Almost surely, 2^{89819969279040} is an apocalyptic number.

89819969279040 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 89819969279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227418682982400).

89819969279040 is an abundant number, since it is smaller than the sum of its proper divisors (365017396685760).

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

89819969279040 is a wasteful number, since it uses less digits than its factorization.

89819969279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 81.

It can be divided in two parts, 89819969 and 279040, that added together give a palindrome (90099009).

The spelling of 89819969279040 in words is "eighty-nine trillion, eight hundred nineteen billion, nine hundred sixty-nine million, two hundred seventy-nine thousand, forty".