89794967040 has 800 divisors, whose sum is σ = 338907951360. Its totient is φ = 22693478400.

The previous prime is 89794967029. The next prime is 89794967047. The reversal of 89794967040 is 4076949798.

89794967040 is a `hidden beast` number, since 8 + 9 + 79 + 496 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×89794967040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89794967047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392117646 + ... + 392117874.

Almost surely, 2^89794967040 is an apocalyptic number.

89794967040 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 89794967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169453975680).

89794967040 is an abundant number, since it is smaller than the sum of its proper divisors (249112984320).

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

89794967040 is a wasteful number, since it uses less digits than its factorization.

89794967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 89794967040 in words is "eighty-nine billion, seven hundred ninety-four million, nine hundred sixty-seven thousand, forty".