1054761928200 has 180 divisors, whose sum is σ = 3663798496215. Its totient is φ = 281234989440.

The previous prime is 1054761928147. The next prime is 1054761928247. The reversal of 1054761928200 is 28291674501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1054761928200 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 619 + 2 + 8 + 20 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 9423361476 + 1045338566724 = 97074^2 + 1022418^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=726210.

It is a super-2 number, since 2×1054761928200² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130713766 + ... + 130721834.

Almost surely, 2^{1054761928200} is an apocalyptic number.

1054761928200 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 1054761928200

1054761928200 is an abundant number, since it is smaller than the sum of its proper divisors (2609036568015).

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

1054761928200 is an frugal number, since it uses more digits than its factorization.

1054761928200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16166 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1054761928200 in words is "one trillion, fifty-four billion, seven hundred sixty-one million, nine hundred twenty-eight thousand, two hundred".