29830187312640 has 5120 divisors, whose sum is σ = 138808915660800. Its totient is φ = 6036943011840.

The previous prime is 29830187312593. The next prime is 29830187312671. The reversal of 29830187312640 is 4621378103892.

It is a happy number.

29830187312640 is a `hidden beast` number, since 2 + 9 + 8 + 301 + 8 + 73 + 1 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 562833722854 + ... + 562833722906.

It is an arithmetic number, because the mean of its divisors is an integer number (27111116340).

Almost surely, 2^{29830187312640} is an apocalyptic number.

29830187312640 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 29830187312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69404457830400).

29830187312640 is an abundant number, since it is smaller than the sum of its proper divisors (108978728348160).

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

29830187312640 is a wasteful number, since it uses less digits than its factorization.

29830187312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 29830187312640 in words is "twenty-nine trillion, eight hundred thirty billion, one hundred eighty-seven million, three hundred twelve thousand, six hundred forty".