10299405312000 has 2240 divisors, whose sum is σ = 44669895139584. Its totient is φ = 2321901158400.

The previous prime is 10299405311957. The next prime is 10299405312017. The reversal of 10299405312000 is 21350499201.

10299405312000 is a `hidden beast` number, since 10 + 2 + 9 + 9 + 405 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 141087743964 + ... + 141087744036.

Almost surely, 2^{10299405312000} is an apocalyptic number.

10299405312000 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 10299405312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334947569792).

10299405312000 is an abundant number, since it is smaller than the sum of its proper divisors (34370489827584).

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

10299405312000 is an frugal number, since it uses more digits than its factorization.

10299405312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10299405312000 in words is "ten trillion, two hundred ninety-nine billion, four hundred five million, three hundred twelve thousand".