1055070502400 has 240 divisors, whose sum is σ = 2650838929200. Its totient is φ = 416105103360.

The previous prime is 1055070502363. The next prime is 1055070502403. The reversal of 1055070502400 is 42050705501.

It is a super-2 number, since 2×1055070502400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055070502403) 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 23 ways as a sum of consecutive naturals, for example, 986969066 + ... + 986970134.

It is an arithmetic number, because the mean of its divisors is an integer number (11045162205).

Almost surely, 2^{1055070502400} is an apocalyptic number.

1055070502400 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 1055070502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325419464600).

1055070502400 is an abundant number, since it is smaller than the sum of its proper divisors (1595768426800).

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

1055070502400 is an equidigital number, since it uses as much as digits as its factorization.

1055070502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The spelling of 1055070502400 in words is "one trillion, fifty-five billion, seventy million, five hundred two thousand, four hundred".