29712590080 has 36 divisors (see below), whose sum is σ = 71170941492. Its totient is φ = 11885035520.

The previous prime is 29712590077. The next prime is 29712590093. The reversal of 29712590080 is 8009521792.

It can be written as a sum of positive squares in 2 ways, for example, as 8713102336 + 20999487744 = 93344^2 + 144912^2 .

It is a super-2 number, since 2×29712590080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11605201 + ... + 11607760.

It is an arithmetic number, because the mean of its divisors is an integer number (1976970597).

Almost surely, 2^29712590080 is an apocalyptic number.

29712590080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29712590080 is an abundant number, since it is smaller than the sum of its proper divisors (41458351412).

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

29712590080 is an equidigital number, since it uses as much as digits as its factorization.

29712590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23212982 (or 23212968 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 29712590080 in words is "twenty-nine billion, seven hundred twelve million, five hundred ninety thousand, eighty".