1057420167972 has 144 divisors (see below), whose sum is σ = 2972238639552. Its totient is φ = 291559806720.

The previous prime is 1057420167917. The next prime is 1057420167997. The reversal of 1057420167972 is 2797610247501.

1057420167972 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 2×1057420167972² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622883 + ... + 2179125.

It is an arithmetic number, because the mean of its divisors is an integer number (20640546108).

Almost surely, 2^{1057420167972} is an apocalyptic number.

1057420167972 is a gapful number since it is divisible by the number (12) 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 1057420167972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486119319776).

1057420167972 is an abundant number, since it is smaller than the sum of its proper divisors (1914818471580).

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

1057420167972 is a wasteful number, since it uses less digits than its factorization.

1057420167972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556378 (or 556369 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 1057420167972 in words is "one trillion, fifty-seven billion, four hundred twenty million, one hundred sixty-seven thousand, nine hundred seventy-two".