1055778748416 has 576 divisors, whose sum is σ = 3712092733440. Its totient is φ = 293462507520.

The previous prime is 1055778748399. The next prime is 1055778748457. The reversal of 1055778748416 is 6148478775501.

1055778748416 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 77 + 87 + 484 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1055778748416² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128890881 + ... + 128899071.

It is an arithmetic number, because the mean of its divisors is an integer number (6444605440).

Almost surely, 2^{1055778748416} is an apocalyptic number.

1055778748416 is a gapful number since it is divisible by the number (16) 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 1055778748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856046366720).

1055778748416 is an abundant number, since it is smaller than the sum of its proper divisors (2656313985024).

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

1055778748416 is an frugal number, since it uses more digits than its factorization.

1055778748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 1055778748416 in words is "one trillion, fifty-five billion, seven hundred seventy-eight million, seven hundred forty-eight thousand, four hundred sixteen".