21714766503360 has 896 divisors, whose sum is σ = 86937125713920. Its totient is φ = 4477313089536.

The previous prime is 21714766503359. The next prime is 21714766503373. The reversal of 21714766503360 is 6330566741712.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 453851599 + ... + 453899441.

Almost surely, 2^{21714766503360} is an apocalyptic number.

21714766503360 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 21714766503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43468562856960).

21714766503360 is an abundant number, since it is smaller than the sum of its proper divisors (65222359210560).

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

21714766503360 is a wasteful number, since it uses less digits than its factorization.

21714766503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48053 (or 48043 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 21714766503360 in words is "twenty-one trillion, seven hundred fourteen billion, seven hundred sixty-six million, five hundred three thousand, three hundred sixty".