10929793190400 has 2880 divisors, whose sum is σ = 49561137288960. Its totient is φ = 2339100426240.

The previous prime is 10929793190341. The next prime is 10929793190413. The reversal of 10929793190400 is 409139792901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 56631052704 + ... + 56631052896.

Almost surely, 2^{10929793190400} is an apocalyptic number.

10929793190400 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 10929793190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780568644480).

10929793190400 is an abundant number, since it is smaller than the sum of its proper divisors (38631344098560).

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

10929793190400 is an frugal number, since it uses more digits than its factorization.

10929793190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 10929793190400 in words is "ten trillion, nine hundred twenty-nine billion, seven hundred ninety-three million, one hundred ninety thousand, four hundred".