2101965465600 has 4608 divisors, whose sum is σ = 10919301120000. Its totient is φ = 390168576000.

The previous prime is 2101965465581. The next prime is 2101965465629. The reversal of 2101965465600 is 65645691012.

2101965465600 is a `hidden beast` number, since 2 + 10 + 1 + 96 + 546 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67805337585 + ... + 67805337615.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640000).

Almost surely, 2^{2101965465600} is an apocalyptic number.

2101965465600 is a gapful number since it is divisible by the number (20) 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 2101965465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560000).

2101965465600 is an abundant number, since it is smaller than the sum of its proper divisors (8817335654400).

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

2101965465600 is a wasteful number, since it uses less digits than its factorization.

2101965465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2101965465600 in words is "two trillion, one hundred one billion, nine hundred sixty-five million, four hundred sixty-five thousand, six hundred".