9940152550680 has 1728 divisors, whose sum is σ = 39795128755200. Its totient is φ = 2141958297600.

The previous prime is 9940152550673. The next prime is 9940152550693. The reversal of 9940152550680 is 860552510499.

9940152550680 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 1 + 5 + 2 + 550 + 6 + 80 = 666.

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 35124213819 + ... + 35124214101.

It is an arithmetic number, because the mean of its divisors is an integer number (23029588400).

Almost surely, 2^{9940152550680} is an apocalyptic number.

9940152550680 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 9940152550680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897564377600).

9940152550680 is an abundant number, since it is smaller than the sum of its proper divisors (29854976204520).

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

9940152550680 is a wasteful number, since it uses less digits than its factorization.

9940152550680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 9940152550680 in words is "nine trillion, nine hundred forty billion, one hundred fifty-two million, five hundred fifty thousand, six hundred eighty".