10211085657600 has 240 divisors, whose sum is σ = 33745229928960. Its totient is φ = 2721862656000.

The previous prime is 10211085657581. The next prime is 10211085657629. The reversal of 10211085657600 is 675658011201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97906281 + ... + 98010519.

It is an arithmetic number, because the mean of its divisors is an integer number (140605124704).

Almost surely, 2^{10211085657600} is an apocalyptic number.

10211085657600 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 10211085657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872614964480).

10211085657600 is an abundant number, since it is smaller than the sum of its proper divisors (23534144271360).

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

10211085657600 is a wasteful number, since it uses less digits than its factorization.

10211085657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106821 (or 106800 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 10211085657600 in words is "ten trillion, two hundred eleven billion, eighty-five million, six hundred fifty-seven thousand, six hundred".