29690088120 has 384 divisors, whose sum is σ = 120647854080. Its totient is φ = 6151680000.

The previous prime is 29690088101. The next prime is 29690088133. The reversal of 29690088120 is 2188009692.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11114385 + ... + 11117055.

It is an arithmetic number, because the mean of its divisors is an integer number (314187120).

Almost surely, 2^29690088120 is an apocalyptic number.

29690088120 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 29690088120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60323927040).

29690088120 is an abundant number, since it is smaller than the sum of its proper divisors (90957765960).

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

29690088120 is a wasteful number, since it uses less digits than its factorization.

29690088120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 29690088120 in words is "twenty-nine billion, six hundred ninety million, eighty-eight thousand, one hundred twenty".