29506975680 has 896 divisors, whose sum is σ = 125762918400. Its totient is φ = 5685313536.

The previous prime is 29506975649. The next prime is 29506975783. The reversal of 29506975680 is 8657960592.

It is a super-2 number, since 2×29506975680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 29506975680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48135054 + ... + 48135666.

It is an arithmetic number, because the mean of its divisors is an integer number (140360400).

Almost surely, 2^29506975680 is an apocalyptic number.

29506975680 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 29506975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62881459200).

29506975680 is an abundant number, since it is smaller than the sum of its proper divisors (96255942720).

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

29506975680 is a wasteful number, since it uses less digits than its factorization.

29506975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 29506975680 in words is "twenty-nine billion, five hundred six million, nine hundred seventy-five thousand, six hundred eighty".