29701672003080 has 640 divisors, whose sum is σ = 125862717024000. Its totient is φ = 6102425640960.

The previous prime is 29701672003079. The next prime is 29701672003093. The reversal of 29701672003080 is 8030027610792.

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 159 ways as a sum of consecutive naturals, for example, 21534876 + ... + 22872564.

It is an arithmetic number, because the mean of its divisors is an integer number (196660495350).

Almost surely, 2^{29701672003080} is an apocalyptic number.

29701672003080 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 29701672003080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62931358512000).

29701672003080 is an abundant number, since it is smaller than the sum of its proper divisors (96161045020920).

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

29701672003080 is a wasteful number, since it uses less digits than its factorization.

29701672003080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337819 (or 1337806 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 29701672003080 in words is "twenty-nine trillion, seven hundred one billion, six hundred seventy-two million, three thousand, eighty".