21436897950720 has 3696 divisors, whose sum is σ = 97943152896000. Its totient is φ = 4469659729920.

The previous prime is 21436897950673. The next prime is 21436897950749. The reversal of 21436897950720 is 2705979863412.

21436897950720 is a `hidden beast` number, since 2 + 1 + 4 + 36 + 8 + 9 + 79 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 107723105181 + ... + 107723105379.

It is a 1-persistent number, because it is pandigital, but 2⋅21436897950720 = 42873795901440 is not.

Almost surely, 2^{21436897950720} is an apocalyptic number.

21436897950720 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 21436897950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48971576448000).

21436897950720 is an abundant number, since it is smaller than the sum of its proper divisors (76506254945280).

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

21436897950720 is a wasteful number, since it uses less digits than its factorization.

21436897950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 21436897950720 in words is "twenty-one trillion, four hundred thirty-six billion, eight hundred ninety-seven million, nine hundred fifty thousand, seven hundred twenty".