29872139489280 has 1664 divisors, whose sum is σ = 126639098265600. Its totient is φ = 6595176038400.

The previous prime is 29872139489273. The next prime is 29872139489303. The reversal of 29872139489280 is 8298493127892.

29872139489280 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 2 + 139 + 489 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29872139489199 and 29872139489208.

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, 3205504461 + ... + 3205513779.

Almost surely, 2^{29872139489280} is an apocalyptic number.

29872139489280 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 29872139489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63319549132800).

29872139489280 is an abundant number, since it is smaller than the sum of its proper divisors (96766958776320).

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

29872139489280 is a wasteful number, since it uses less digits than its factorization.

29872139489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 29872139489280 in words is "twenty-nine trillion, eight hundred seventy-two billion, one hundred thirty-nine million, four hundred eighty-nine thousand, two hundred eighty".