42893633520 has 240 divisors, whose sum is σ = 149183210592. Its totient is φ = 11037911040.

The previous prime is 42893633509. The next prime is 42893633561. The reversal of 42893633520 is 2533639824.

42893633520 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 3 + 633 + 5 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2318547 + ... + 2336973.

Almost surely, 2^42893633520 is an apocalyptic number.

42893633520 is a gapful number since it is divisible by the number (40) 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 42893633520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74591605296).

42893633520 is an abundant number, since it is smaller than the sum of its proper divisors (106289577072).

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

42893633520 is a wasteful number, since it uses less digits than its factorization.

42893633520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18560 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 42893633520 in words is "forty-two billion, eight hundred ninety-three million, six hundred thirty-three thousand, five hundred twenty".