1056148800 has 504 divisors, whose sum is σ = 4292778816. Its totient is φ = 221921280.

The previous prime is 1056148789. The next prime is 1056148811. The reversal of 1056148800 is 88416501.

It is an interprime number because it is at equal distance from previous prime (1056148789) and next prime (1056148811).

It is a super-2 number, since 2×1056148800² = 2230900575482880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24561579 + ... + 24561621.

Almost surely, 2^1056148800 is an apocalyptic number.

1056148800 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 1056148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146389408).

1056148800 is an abundant number, since it is smaller than the sum of its proper divisors (3236630016).

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

1056148800 is a wasteful number, since it uses less digits than its factorization.

1056148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1056148800 is about 32498.4430396288. The cubic root of 1056148800 is about 1018.3765022747.

The spelling of 1056148800 in words is "one billion, fifty-six million, one hundred forty-eight thousand, eight hundred".