1055016400 has 30 divisors (see below), whose sum is σ = 2534677862. Its totient is φ = 422006400.

The previous prime is 1055016373. The next prime is 1055016419. The reversal of 1055016400 is 46105501.

1055016400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 178382736 + 876633664 = 13356^2 + 29608^2 .

It is a super-2 number, since 2×1055016400² = 2226119208537920000, 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 5 ways as a sum of consecutive naturals, for example, 1318371 + ... + 1319170.

Almost surely, 2^1055016400 is an apocalyptic number.

1055016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055016400 is an abundant number, since it is smaller than the sum of its proper divisors (1479661462).

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

1055016400 is a wasteful number, since it uses less digits than its factorization.

1055016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637559 (or 2637548 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1055016400 is about 32481.0159939618. The cubic root of 1055016400 is about 1018.0124052356.

The spelling of 1055016400 in words is "one billion, fifty-five million, sixteen thousand, four hundred".