21132150264 has 80 divisors (see below), whose sum is σ = 59621878800. Its totient is φ = 6992604288.

The previous prime is 21132150239. The next prime is 21132150283. The reversal of 21132150264 is 46205123112.

21132150264 is a `hidden beast` number, since 21 + 132 + 1 + 502 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30244 + ... + 207795.

It is an arithmetic number, because the mean of its divisors is an integer number (745273485).

Almost surely, 2^21132150264 is an apocalyptic number.

21132150264 is a gapful number since it is divisible by the number (24) 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 21132150264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810939400).

21132150264 is an abundant number, since it is smaller than the sum of its proper divisors (38489728536).

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

21132150264 is a wasteful number, since it uses less digits than its factorization.

21132150264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238194 (or 238181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21132150264 its reverse (46205123112), we get a palindrome (67337273376).

It can be divided in two parts, 21132 and 150264, that added together give a square (171396 = 414²).

The spelling of 21132150264 in words is "twenty-one billion, one hundred thirty-two million, one hundred fifty thousand, two hundred sixty-four".