1055715150400 has 189 divisors, whose sum is σ = 2761342237147. Its totient is φ = 397182668800.

The previous prime is 1055715150389. The next prime is 1055715150407. The reversal of 1055715150400 is 40515175501.

The square root of 1055715150400 is 1027480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24694236736 + 1031020913664 = 157144^2 + 1015392^2 .

It is a super-2 number, since 2×1055715150400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055715150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 698685645 + ... + 698687155.

Almost surely, 2^{1055715150400} is an apocalyptic number.

1055715150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1055715150400 is the 1027480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055715150400

1055715150400 is an abundant number, since it is smaller than the sum of its proper divisors (1705627086747).

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

1055715150400 is an frugal number, since it uses more digits than its factorization.

1055715150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 34.

The spelling of 1055715150400 in words is "one trillion, fifty-five billion, seven hundred fifteen million, one hundred fifty thousand, four hundred".