29842454160 has 400 divisors, whose sum is σ = 111568363632. Its totient is φ = 7365427200.

The previous prime is 29842454129. The next prime is 29842454171. The reversal of 29842454160 is 6145424892.

It is a happy number.

29842454160 is a `hidden beast` number, since 2 + 9 + 8 + 42 + 4 + 541 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2323625616 + 27518828544 = 48204^2 + 165888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6717540 + ... + 6721980.

Almost surely, 2^29842454160 is an apocalyptic number.

29842454160 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 29842454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55784181816).

29842454160 is an abundant number, since it is smaller than the sum of its proper divisors (81725909472).

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

29842454160 is a wasteful number, since it uses less digits than its factorization.

29842454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 29842454160 in words is "twenty-nine billion, eight hundred forty-two million, four hundred fifty-four thousand, one hundred sixty".