29924751003904 has 81 divisors (see below), whose sum is σ = 60034799410383. Its totient is φ = 14887059695616.

The previous prime is 29924751003877. The next prime is 29924751003907. The reversal of 29924751003904 is 40930015742992.

It is a happy number.

The square root of 29924751003904 is 5470352.

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 19554084000000 + 10370667003904 = 4422000^2 + 3220352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29924751003907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20043368982 + ... + 20043370474.

Almost surely, 2^{29924751003904} is an apocalyptic number.

29924751003904 is the 5470352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29924751003904

29924751003904 is an abundant number, since it is smaller than the sum of its proper divisors (30110048406479).

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

29924751003904 is an frugal number, since it uses more digits than its factorization.

29924751003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 29924751003904 in words is "twenty-nine trillion, nine hundred twenty-four billion, seven hundred fifty-one million, three thousand, nine hundred four".