29853602142 has 256 divisors, whose sum is σ = 79564800000. Its totient is φ = 7249222656.

The previous prime is 29853602101. The next prime is 29853602179. The reversal of 29853602142 is 24120635892.

It is a super-3 number, since 3×29853602142³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29853602094 and 29853602103.

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, 59826609 + ... + 59827107.

It is an arithmetic number, because the mean of its divisors is an integer number (310800000).

Almost surely, 2^29853602142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29853602142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782400000).

29853602142 is an abundant number, since it is smaller than the sum of its proper divisors (49711197858).

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

29853602142 is a wasteful number, since it uses less digits than its factorization.

29853602142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 29853602142 in words is "twenty-nine billion, eight hundred fifty-three million, six hundred two thousand, one hundred forty-two".