89280412573680 has 480 divisors, whose sum is σ = 306979426398528. Its totient is φ = 23246681702400.

The previous prime is 89280412573633. The next prime is 89280412573727. The reversal of 89280412573680 is 8637521408298.

89280412573680 is a `hidden beast` number, since 8 + 9 + 280 + 41 + 257 + 3 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89280412573633) and next prime (89280412573727).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 8074554712 + ... + 8074565768.

It is a 1-persistent number, because it is pandigital, but 2⋅89280412573680 = 178560825147360 is not.

Almost surely, 2^{89280412573680} is an apocalyptic number.

89280412573680 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 89280412573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489713199264).

89280412573680 is an abundant number, since it is smaller than the sum of its proper divisors (217699013824848).

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

89280412573680 is a wasteful number, since it uses less digits than its factorization.

89280412573680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 89280412573680 in words is "eighty-nine trillion, two hundred eighty billion, four hundred twelve million, five hundred seventy-three thousand, six hundred eighty".