99743735520 has 576 divisors, whose sum is σ = 423419016384. Its totient is φ = 21006581760.

The previous prime is 99743735477. The next prime is 99743735521. The reversal of 99743735520 is 2553734799.

99743735520 is a `hidden beast` number, since 9 + 9 + 7 + 43 + 73 + 5 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99743735521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3486394 + ... + 3514886.

It is an arithmetic number, because the mean of its divisors is an integer number (735102459).

Almost surely, 2^99743735520 is an apocalyptic number.

99743735520 is a gapful number since it is divisible by the number (90) 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 99743735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211709508192).

99743735520 is an abundant number, since it is smaller than the sum of its proper divisors (323675280864).

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

99743735520 is a wasteful number, since it uses less digits than its factorization.

99743735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28555 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 99743735520 in words is "ninety-nine billion, seven hundred forty-three million, seven hundred thirty-five thousand, five hundred twenty".