29657398680 has 1536 divisors, whose sum is σ = 135862272000. Its totient is φ = 5434490880.

The previous prime is 29657398663. The next prime is 29657398681. The reversal of 29657398680 is 8689375692.

It is a super-2 number, since 2×29657398680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29657398681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 559573534 + ... + 559573586.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 2^29657398680 is an apocalyptic number.

29657398680 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 29657398680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136000).

29657398680 is an abundant number, since it is smaller than the sum of its proper divisors (106204873320).

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

29657398680 is a wasteful number, since it uses less digits than its factorization.

29657398680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 29657398680 in words is "twenty-nine billion, six hundred fifty-seven million, three hundred ninety-eight thousand, six hundred eighty".