99938772540 has 192 divisors, whose sum is σ = 315183052800. Its totient is φ = 26287172352.

The previous prime is 99938772509. The next prime is 99938772541. The reversal of 99938772540 is 4527783999.

99938772540 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 87 + 7 + 2 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99938772541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13805802 + ... + 13813038.

It is an arithmetic number, because the mean of its divisors is an integer number (1641578400).

Almost surely, 2^99938772540 is an apocalyptic number.

99938772540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99938772540 is the 258120-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99938772540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157591526400).

99938772540 is an abundant number, since it is smaller than the sum of its proper divisors (215244280260).

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

99938772540 is a wasteful number, since it uses less digits than its factorization.

99938772540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 99938772540 in words is "ninety-nine billion, nine hundred thirty-eight million, seven hundred seventy-two thousand, five hundred forty".