29870961120 has 2304 divisors, whose sum is σ = 154067816448. Its totient is φ = 5060689920.

The previous prime is 29870961091. The next prime is 29870961149. The reversal of 29870961120 is 2116907892.

29870961120 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 0 + 9 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (29870961091) and next prime (29870961149).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 563603014 + ... + 563603066.

It is an arithmetic number, because the mean of its divisors is an integer number (66869712).

Almost surely, 2^29870961120 is an apocalyptic number.

29870961120 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 29870961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77033908224).

29870961120 is an abundant number, since it is smaller than the sum of its proper divisors (124196855328).

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

29870961120 is a wasteful number, since it uses less digits than its factorization.

29870961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 29870961120 in words is "twenty-nine billion, eight hundred seventy million, nine hundred sixty-one thousand, one hundred twenty".