10211874900480 has 480 divisors, whose sum is σ = 38713699664640. Its totient is φ = 2467138928640.

The previous prime is 10211874900463. The next prime is 10211874900481. The reversal of 10211874900480 is 8400947811201.

10211874900480 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 87 + 4 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (10211874900481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74189161 + ... + 74326679.

It is an arithmetic number, because the mean of its divisors is an integer number (80653540968).

Almost surely, 2^{10211874900480} is an apocalyptic number.

10211874900480 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 10211874900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356849832320).

10211874900480 is an abundant number, since it is smaller than the sum of its proper divisors (28501824764160).

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

10211874900480 is a wasteful number, since it uses less digits than its factorization.

10211874900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137852 (or 137833 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10211874900480 in words is "ten trillion, two hundred eleven billion, eight hundred seventy-four million, nine hundred thousand, four hundred eighty".