89945928779616 has 720 divisors, whose sum is σ = 331717349658240. Its totient is φ = 22956706160640.

The previous prime is 89945928779537. The next prime is 89945928779627. The reversal of 89945928779616 is 61697782954998.

89945928779616 is a `hidden beast` number, since 8 + 9 + 9 + 4 + 592 + 8 + 7 + 7 + 9 + 6 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 278508280 + ... + 278831048.

It is an arithmetic number, because the mean of its divisors is an integer number (460718541192).

Almost surely, 2^{89945928779616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89945928779616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165858674829120).

89945928779616 is an abundant number, since it is smaller than the sum of its proper divisors (241771420878624).

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

89945928779616 is a wasteful number, since it uses less digits than its factorization.

89945928779616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322857 (or 322825 counting only the distinct ones).

The product of its digits is 29628426240, while the sum is 90.

The spelling of 89945928779616 in words is "eighty-nine trillion, nine hundred forty-five billion, nine hundred twenty-eight million, seven hundred seventy-nine thousand, six hundred sixteen".