64028851935120 has 480 divisors, whose sum is σ = 229184041282560. Its totient is φ = 16601078200320.

The previous prime is 64028851935091. The next prime is 64028851935143. The reversal of 64028851935120 is 2153915882046.

64028851935120 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 88 + 519 + 35 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035012990 + ... + 1035074850.

It is an arithmetic number, because the mean of its divisors is an integer number (477466752672).

Almost surely, 2^{64028851935120} is an apocalyptic number.

64028851935120 is a gapful number since it is divisible by the number (60) 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 64028851935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114592020641280).

64028851935120 is an abundant number, since it is smaller than the sum of its proper divisors (165155189347440).

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

64028851935120 is a wasteful number, since it uses less digits than its factorization.

64028851935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63365 (or 63347 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 64028851935120 in words is "sixty-four trillion, twenty-eight billion, eight hundred fifty-one million, nine hundred thirty-five thousand, one hundred twenty".