10132764134220 has 1728 divisors, whose sum is σ = 40857559142400. Its totient is φ = 2012391972864.

The previous prime is 10132764134197. The next prime is 10132764134221. The reversal of 10132764134220 is 2243146723101.

10132764134220 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 7 + 641 + 3 + 4 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10132764134221) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16916133481 + ... + 16916134079.

It is an arithmetic number, because the mean of its divisors is an integer number (23644420800).

Almost surely, 2^{10132764134220} is an apocalyptic number.

10132764134220 is a gapful number since it is divisible by the number (10) 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 10132764134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20428779571200).

10132764134220 is an abundant number, since it is smaller than the sum of its proper divisors (30724795008180).

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

10132764134220 is a wasteful number, since it uses less digits than its factorization.

10132764134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10132764134220 in words is "ten trillion, one hundred thirty-two billion, seven hundred sixty-four million, one hundred thirty-four thousand, two hundred twenty".