10078272745920 has 336 divisors, whose sum is σ = 37841005587840. Its totient is φ = 2546089583616.

The previous prime is 10078272745889. The next prime is 10078272745963. The reversal of 10078272745920 is 2954727287001.

10078272745920 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 27 + 27 + 4 + 592 + 0 = 666.

10078272745920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933282 + ... + 4888161.

It is an arithmetic number, because the mean of its divisors is an integer number (112622040440).

Almost surely, 2^{10078272745920} is an apocalyptic number.

10078272745920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10078272745920 is an abundant number, since it is smaller than the sum of its proper divisors (27762732841920).

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

10078272745920 is an equidigital number, since it uses as much as digits as its factorization.

10078272745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821494 (or 6821472 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10078272745920 in words is "ten trillion, seventy-eight billion, two hundred seventy-two million, seven hundred forty-five thousand, nine hundred twenty".