1057210146720 has 2880 divisors, whose sum is σ = 5129704774656. Its totient is φ = 203166351360.

The previous prime is 1057210146661. The next prime is 1057210146739. The reversal of 1057210146720 is 276410127501.

1057210146720 is a `hidden beast` number, since 1 + 0 + 5 + 72 + 101 + 467 + 20 = 666.

1057210146720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057210146720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34103553105 + ... + 34103553135.

Almost surely, 2^{1057210146720} is an apocalyptic number.

1057210146720 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 1057210146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564852387328).

1057210146720 is an abundant number, since it is smaller than the sum of its proper divisors (4072494627936).

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

1057210146720 is an equidigital number, since it uses as much as digits as its factorization.

1057210146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1057210146720 in words is "one trillion, fifty-seven billion, two hundred ten million, one hundred forty-six thousand, seven hundred twenty".