99939742560 has 288 divisors, whose sum is σ = 397121175360. Its totient is φ = 22412242944.

The previous prime is 99939742517. The next prime is 99939742571. The reversal of 99939742560 is 6524793999.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 440706 + ... + 627774.

It is an arithmetic number, because the mean of its divisors is an integer number (1378892970).

Almost surely, 2^99939742560 is an apocalyptic number.

99939742560 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 99939742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198560587680).

99939742560 is an abundant number, since it is smaller than the sum of its proper divisors (297181432800).

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

99939742560 is a wasteful number, since it uses less digits than its factorization.

99939742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187150 (or 187139 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 99939742560 in words is "ninety-nine billion, nine hundred thirty-nine million, seven hundred forty-two thousand, five hundred sixty".