21749697849600 has 1728 divisors, whose sum is σ = 92331790387200. Its totient is φ = 4907245731840.

The previous prime is 21749697849557. The next prime is 21749697849611. The reversal of 21749697849600 is 694879694712.

21749697849600 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 9 + 6 + 9 + 7 + 8 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46573228567 + ... + 46573229033.

Almost surely, 2^{21749697849600} is an apocalyptic number.

21749697849600 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 21749697849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46165895193600).

21749697849600 is an abundant number, since it is smaller than the sum of its proper divisors (70582092537600).

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

21749697849600 is a wasteful number, since it uses less digits than its factorization.

21749697849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 21749697849600 in words is "twenty-one trillion, seven hundred forty-nine billion, six hundred ninety-seven million, eight hundred forty-nine thousand, six hundred".