10024078821120 has 1440 divisors, whose sum is σ = 46742740184448. Its totient is φ = 1990528598016.

The previous prime is 10024078821091. The next prime is 10024078821121. The reversal of 10024078821120 is 2112887042001.

It is a happy number.

10024078821120 is a `hidden beast` number, since 10 + 0 + 2 + 407 + 8 + 8 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024078821121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160361712 + ... + 160424208.

Almost surely, 2^{10024078821120} is an apocalyptic number.

10024078821120 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 10024078821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23371370092224).

10024078821120 is an abundant number, since it is smaller than the sum of its proper divisors (36718661363328).

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

10024078821120 is a wasteful number, since it uses less digits than its factorization.

10024078821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62567 (or 62544 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10024078821120 in words is "ten trillion, twenty-four billion, seventy-eight million, eight hundred twenty-one thousand, one hundred twenty".