1055268864000 has 1088 divisors, whose sum is σ = 4213733422080. Its totient is φ = 259050700800.

The previous prime is 1055268863983. The next prime is 1055268864043. The reversal of 1055268864000 is 4688625501.

1055268864000 is a `hidden beast` number, since 1 + 0 + 5 + 526 + 8 + 86 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×1055268864000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2875391817 + ... + 2875392183.

Almost surely, 2^{1055268864000} is an apocalyptic number.

1055268864000 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 1055268864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106866711040).

1055268864000 is an abundant number, since it is smaller than the sum of its proper divisors (3158464558080).

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

1055268864000 is an frugal number, since it uses more digits than its factorization.

1055268864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1055268864000 in words is "one trillion, fifty-five billion, two hundred sixty-eight million, eight hundred sixty-four thousand".