1054621145280 has 224 divisors, whose sum is σ = 3370278256128. Its totient is φ = 279401472000.

The previous prime is 1054621145251. The next prime is 1054621145293. The reversal of 1054621145280 is 825411264501.

It is a happy number.

It is a super-2 number, since 2×1054621145280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121734229 + ... + 121742891.

It is an arithmetic number, because the mean of its divisors is an integer number (15045885072).

Almost surely, 2^{1054621145280} is an apocalyptic number.

1054621145280 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 1054621145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685139128064).

1054621145280 is an abundant number, since it is smaller than the sum of its proper divisors (2315657110848).

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

1054621145280 is a wasteful number, since it uses less digits than its factorization.

1054621145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 1054621145280 in words is "one trillion, fifty-four billion, six hundred twenty-one million, one hundred forty-five thousand, two hundred eighty".