21190464699120 has 960 divisors, whose sum is σ = 75557127784320. Its totient is φ = 5314814410752.

The previous prime is 21190464699113. The next prime is 21190464699161. The reversal of 21190464699120 is 2199646409112.

21190464699120 is a `hidden beast` number, since 2 + 1 + 1 + 90 + 4 + 6 + 469 + 91 + 2 + 0 = 666.

It is a congruent number.

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, 60029644864 + ... + 60029645216.

It is an arithmetic number, because the mean of its divisors is an integer number (78705341442).

Almost surely, 2^{21190464699120} is an apocalyptic number.

21190464699120 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 21190464699120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37778563892160).

21190464699120 is an abundant number, since it is smaller than the sum of its proper divisors (54366663085200).

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

21190464699120 is a wasteful number, since it uses less digits than its factorization.

21190464699120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 21190464699120 in words is "twenty-one trillion, one hundred ninety billion, four hundred sixty-four million, six hundred ninety-nine thousand, one hundred twenty".