11017457700480 has 1152 divisors, whose sum is σ = 49584670162560. Its totient is φ = 2227444531200.

The previous prime is 11017457700449. The next prime is 11017457700521. The reversal of 11017457700480 is 8400775471011.

11017457700480 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 74 + 577 + 0 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 114823725 + ... + 114919635.

It is an arithmetic number, because the mean of its divisors is an integer number (43042248405).

Almost surely, 2^{11017457700480} is an apocalyptic number.

11017457700480 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 11017457700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24792335081280).

11017457700480 is an abundant number, since it is smaller than the sum of its proper divisors (38567212462080).

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

11017457700480 is a wasteful number, since it uses less digits than its factorization.

11017457700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95998 (or 95976 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 11017457700480 in words is "eleven trillion, seventeen billion, four hundred fifty-seven million, seven hundred thousand, four hundred eighty".