1054964977920 has 2304 divisors, whose sum is σ = 4683756994560. Its totient is φ = 219768422400.

The previous prime is 1054964977909. The next prime is 1054964977933. The reversal of 1054964977920 is 297794694501.

1054964977920 is a `hidden beast` number, since 1 + 0 + 54 + 9 + 6 + 497 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1054964977920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14451575004 + ... + 14451575076.

It is an arithmetic number, because the mean of its divisors is an integer number (2032880640).

Almost surely, 2^{1054964977920} is an apocalyptic number.

1054964977920 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 1054964977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341878497280).

1054964977920 is an abundant number, since it is smaller than the sum of its proper divisors (3628792016640).

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

1054964977920 is a wasteful number, since it uses less digits than its factorization.

1054964977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 1054964977920 in words is "one trillion, fifty-four billion, nine hundred sixty-four million, nine hundred seventy-seven thousand, nine hundred twenty".