29272276668996 has 135 divisors (see below), whose sum is σ = 81294281607847. Its totient is φ = 9182939950080.

The previous prime is 29272276668989. The next prime is 29272276669007. The reversal of 29272276668996 is 69986667227292.

It is a happy number.

The square root of 29272276668996 is 5410386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 102944722500 + 29169331946496 = 320850^2 + 5400864^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1655569276 + ... + 1655586956.

Almost surely, 2^{29272276668996} is an apocalyptic number.

29272276668996 is the 5410386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29272276668996

29272276668996 is an abundant number, since it is smaller than the sum of its proper divisors (52022004938851).

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

29272276668996 is an frugal number, since it uses more digits than its factorization.

29272276668996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35412 (or 17703 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

29272276668996 divided by its sum of digits (81) gives a square (361386131716 = 601154²).

The spelling of 29272276668996 in words is "twenty-nine trillion, two hundred seventy-two billion, two hundred seventy-six million, six hundred sixty-eight thousand, nine hundred ninety-six".