29448906130980 has 576 divisors, whose sum is σ = 110497408519680. Its totient is φ = 6195530170368.

The previous prime is 29448906130961. The next prime is 29448906130991. The reversal of 29448906130980 is 8903160984492.

29448906130980 is a `hidden beast` number, since 2 + 9 + 4 + 4 + 8 + 9 + 0 + 613 + 0 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×29448906130980² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243849172 + ... + 243969908.

It is an arithmetic number, because the mean of its divisors is an integer number (191835778680).

Almost surely, 2^{29448906130980} is an apocalyptic number.

29448906130980 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 29448906130980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248704259840).

29448906130980 is an abundant number, since it is smaller than the sum of its proper divisors (81048502388700).

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

29448906130980 is a wasteful number, since it uses less digits than its factorization.

29448906130980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121028 (or 121023 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 29448906130980 in words is "twenty-nine trillion, four hundred forty-eight billion, nine hundred six million, one hundred thirty thousand, nine hundred eighty".