29513622988980 has 288 divisors, whose sum is σ = 105275191190400. Its totient is φ = 6837544876032.

The previous prime is 29513622988933. The next prime is 29513622988991. The reversal of 29513622988980 is 8988922631592.

29513622988980 is a `hidden beast` number, since 2 + 9 + 513 + 6 + 2 + 29 + 8 + 8 + 9 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29513622988899 and 29513622988908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7960390 + ... + 11063229.

It is an arithmetic number, because the mean of its divisors is an integer number (365538858300).

Almost surely, 2^{29513622988980} is an apocalyptic number.

29513622988980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29513622988980 is an abundant number, since it is smaller than the sum of its proper divisors (75761568201420).

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

29513622988980 is a wasteful number, since it uses less digits than its factorization.

29513622988980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023680 (or 19023659 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 29513622988980 in words is "twenty-nine trillion, five hundred thirteen billion, six hundred twenty-two million, nine hundred eighty-eight thousand, nine hundred eighty".