9919751377536 has 2048 divisors, whose sum is σ = 40495795200000. Its totient is φ = 2355642777600.

The previous prime is 9919751377517. The next prime is 9919751377553. The reversal of 9919751377536 is 6357731579199.

It is a happy number.

9919751377536 is a `hidden beast` number, since 9 + 9 + 1 + 9 + 7 + 5 + 13 + 77 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 23562354606 + ... + 23562355026.

It is an arithmetic number, because the mean of its divisors is an integer number (19773337500).

Almost surely, 2^{9919751377536} is an apocalyptic number.

9919751377536 is a gapful number since it is divisible by the number (96) 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 9919751377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247897600000).

9919751377536 is an abundant number, since it is smaller than the sum of its proper divisors (30576043822464).

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

9919751377536 is a wasteful number, since it uses less digits than its factorization.

9919751377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 596 counting only the distinct ones).

The product of its digits is 337563450, while the sum is 72.

The spelling of 9919751377536 in words is "nine trillion, nine hundred nineteen billion, seven hundred fifty-one million, three hundred seventy-seven thousand, five hundred thirty-six".