21153775270000 has 200 divisors, whose sum is σ = 51449572766592. Its totient is φ = 8422898400000.

The previous prime is 21153775269961. The next prime is 21153775270003. The reversal of 21153775270000 is 7257735112.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21153775270003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2522205807 + ... + 2522214193.

Almost surely, 2^{21153775270000} is an apocalyptic number.

21153775270000 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 21153775270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724786383296).

21153775270000 is an abundant number, since it is smaller than the sum of its proper divisors (30295797496592).

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

21153775270000 is an equidigital number, since it uses as much as digits as its factorization.

21153775270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

The spelling of 21153775270000 in words is "twenty-one trillion, one hundred fifty-three billion, seven hundred seventy-five million, two hundred seventy thousand".