1054097848320 has 384 divisors, whose sum is σ = 3713370635520. Its totient is φ = 253141975040.

The previous prime is 1054097848301. The next prime is 1054097848327. The reversal of 1054097848320 is 238487904501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1054097848320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054097848327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36142864 + ... + 36172016.

It is an arithmetic number, because the mean of its divisors is an integer number (9670236030).

Almost surely, 2^{1054097848320} is an apocalyptic number.

1054097848320 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 1054097848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856685317760).

1054097848320 is an abundant number, since it is smaller than the sum of its proper divisors (2659272787200).

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

1054097848320 is a wasteful number, since it uses less digits than its factorization.

1054097848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29301 (or 29281 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1054097848320 in words is "one trillion, fifty-four billion, ninety-seven million, eight hundred forty-eight thousand, three hundred twenty".