10028258640000 has 480 divisors, whose sum is σ = 36079518858240. Its totient is φ = 2672766720000.

The previous prime is 10028258639981. The next prime is 10028258640017. The reversal of 10028258640000 is 4685282001.

10028258640000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 2 + 5 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2527918017 + ... + 2527921983.

It is an arithmetic number, because the mean of its divisors is an integer number (75165664288).

Almost surely, 2^{10028258640000} is an apocalyptic number.

10028258640000 is a gapful number since it is divisible by the number (10) 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 10028258640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039759429120).

10028258640000 is an abundant number, since it is smaller than the sum of its proper divisors (26051260218240).

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

10028258640000 is an equidigital number, since it uses as much as digits as its factorization.

10028258640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10028258640000 in words is "ten trillion, twenty-eight billion, two hundred fifty-eight million, six hundred forty thousand".