21027129198810 has 640 divisors, whose sum is σ = 61379405614080. Its totient is φ = 4607146672128.

The previous prime is 21027129198781. The next prime is 21027129198857. The reversal of 21027129198810 is 1889192172012.

It is a super-2 number, since 2×21027129198810² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34079625622 + ... + 34079626238.

It is an arithmetic number, because the mean of its divisors is an integer number (95905321272).

Almost surely, 2^{21027129198810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21027129198810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689702807040).

21027129198810 is an abundant number, since it is smaller than the sum of its proper divisors (40352276415270).

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

21027129198810 is a wasteful number, since it uses less digits than its factorization.

21027129198810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 51.

The spelling of 21027129198810 in words is "twenty-one trillion, twenty-seven billion, one hundred twenty-nine million, one hundred ninety-eight thousand, eight hundred ten".