10901947680 has 768 divisors, whose sum is σ = 45875289600. Its totient is φ = 2388787200.

The previous prime is 10901947673. The next prime is 10901947687. The reversal of 10901947680 is 8674910901.

It is a happy number.

10901947680 is a `hidden beast` number, since 1 + 0 + 90 + 19 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10901947673) and next prime (10901947687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10901947687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18139380 + ... + 18139980.

It is an arithmetic number, because the mean of its divisors is an integer number (59733450).

Almost surely, 2^10901947680 is an apocalyptic number.

10901947680 is a gapful number since it is divisible by the number (10) 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 10901947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937644800).

10901947680 is an abundant number, since it is smaller than the sum of its proper divisors (34973341920).

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

10901947680 is a wasteful number, since it uses less digits than its factorization.

10901947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10901947680 in words is "ten billion, nine hundred one million, nine hundred forty-seven thousand, six hundred eighty".