9975981540 has 288 divisors, whose sum is σ = 34381670400. Its totient is φ = 2148975360.

The previous prime is 9975981539. The next prime is 9975981581. The reversal of 9975981540 is 451895799.

9975981540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15137731 + ... + 15138389.

It is an arithmetic number, because the mean of its divisors is an integer number (119380800).

Almost surely, 2^9975981540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975981540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190835200).

9975981540 is an abundant number, since it is smaller than the sum of its proper divisors (24405688860).

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

9975981540 is a wasteful number, since it uses less digits than its factorization.

9975981540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The square root of 9975981540 is about 99879.8355024677. The cubic root of 9975981540 is about 2152.7084337786.

The spelling of 9975981540 in words is "nine billion, nine hundred seventy-five million, nine hundred eighty-one thousand, five hundred forty".