1054550016000 has 1440 divisors, whose sum is σ = 4272032489088. Its totient is φ = 257989017600.

The previous prime is 1054550015927. The next prime is 1054550016007. The reversal of 1054550016000 is 6100554501.

It is a happy number.

1054550016000 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 50 + 0 + 1 + 600 + 0 = 666.

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

It is a super-2 number, since 2×1054550016000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054550016007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6469631919 + ... + 6469632081.

Almost surely, 2^{1054550016000} is an apocalyptic number.

1054550016000 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 1054550016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136016244544).

1054550016000 is an abundant number, since it is smaller than the sum of its proper divisors (3217482473088).

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

1054550016000 is an frugal number, since it uses more digits than its factorization.

1054550016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1054550016000 in words is "one trillion, fifty-four billion, five hundred fifty million, sixteen thousand".