29967440060880 has 1280 divisors, whose sum is σ = 125036637143040. Its totient is φ = 6449343234048.

The previous prime is 29967440060851. The next prime is 29967440060947. The reversal of 29967440060880 is 8806004476992.

29967440060880 is a `hidden beast` number, since 2 + 9 + 96 + 7 + 4 + 400 + 60 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6510412659 + ... + 6510417261.

It is an arithmetic number, because the mean of its divisors is an integer number (97684872768).

Almost surely, 2^{29967440060880} is an apocalyptic number.

29967440060880 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 29967440060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518318571520).

29967440060880 is an abundant number, since it is smaller than the sum of its proper divisors (95069197082160).

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

29967440060880 is a wasteful number, since it uses less digits than its factorization.

29967440060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 29967440060880 in words is "twenty-nine trillion, nine hundred sixty-seven billion, four hundred forty million, sixty thousand, eight hundred eighty".