29019158820 has 120 divisors (see below), whose sum is σ = 91270179000. Its totient is φ = 7718381568.

The previous prime is 29019158771. The next prime is 29019158863. The reversal of 29019158820 is 2885191092.

It can be written as a sum of positive squares in 4 ways, for example, as 682149924 + 28337008896 = 26118^2 + 168336^2 .

It is a super-2 number, since 2×29019158820² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 607156 + ... + 653204.

It is an arithmetic number, because the mean of its divisors is an integer number (760584825).

Almost surely, 2^29019158820 is an apocalyptic number.

29019158820 is a gapful number since it is divisible by the number (20) 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 29019158820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45635089500).

29019158820 is an abundant number, since it is smaller than the sum of its proper divisors (62251020180).

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

29019158820 is a wasteful number, since it uses less digits than its factorization.

29019158820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46459 (or 46448 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 29019158820 in words is "twenty-nine billion, nineteen million, one hundred fifty-eight thousand, eight hundred twenty".