10501748220096 has 1344 divisors, whose sum is σ = 37308081807360. Its totient is φ = 2761756508160.

The previous prime is 10501748220091. The next prime is 10501748220097. The reversal of 10501748220096 is 69002284710501.

10501748220096 is a `hidden beast` number, since 1 + 0 + 50 + 17 + 482 + 20 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10501748220096² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10501748220091) 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 191 ways as a sum of consecutive naturals, for example, 37912448310 + ... + 37912448586.

It is an arithmetic number, because the mean of its divisors is an integer number (27758989440).

Almost surely, 2^{10501748220096} is an apocalyptic number.

10501748220096 is a gapful number since it is divisible by the number (16) 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 10501748220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654040903680).

10501748220096 is an abundant number, since it is smaller than the sum of its proper divisors (26806333587264).

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

10501748220096 is a wasteful number, since it uses less digits than its factorization.

10501748220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10501748220096 in words is "ten trillion, five hundred one billion, seven hundred forty-eight million, two hundred twenty thousand, ninety-six".