1054064793600 has 3456 divisors, whose sum is σ = 5175293760000. Its totient is φ = 210691031040.

The previous prime is 1054064793589. The next prime is 1054064793671. The reversal of 1054064793600 is 63974604501.

1054064793600 is a `hidden beast` number, since 1 + 0 + 540 + 6 + 4 + 79 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×1054064793600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55477094391 + ... + 55477094409.

Almost surely, 2^{1054064793600} is an apocalyptic number.

1054064793600 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 1054064793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587646880000).

1054064793600 is an abundant number, since it is smaller than the sum of its proper divisors (4121228966400).

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

1054064793600 is an equidigital number, since it uses as much as digits as its factorization.

1054064793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1054064793600 in words is "one trillion, fifty-four billion, sixty-four million, seven hundred ninety-three thousand, six hundred".