20035152144 has 240 divisors, whose sum is σ = 67296407040. Its totient is φ = 5690200320.

The previous prime is 20035152097. The next prime is 20035152149. The reversal of 20035152144 is 44125153002.

20035152144 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 515 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20035152149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3659329 + ... + 3664799.

It is an arithmetic number, because the mean of its divisors is an integer number (280401696).

Almost surely, 2^20035152144 is an apocalyptic number.

20035152144 is a gapful number since it is divisible by the number (24) 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 20035152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33648203520).

20035152144 is an abundant number, since it is smaller than the sum of its proper divisors (47261254896).

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

20035152144 is a wasteful number, since it uses less digits than its factorization.

20035152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20035152144 in words is "twenty billion, thirty-five million, one hundred fifty-two thousand, one hundred forty-four".