1057573651456 has 99 divisors (see below), whose sum is σ = 2459811859767. Its totient is φ = 453147125760.

The previous prime is 1057573651373. The next prime is 1057573651469. The reversal of 1057573651456 is 6541563757501.

The square root of 1057573651456 is 1028384.

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

It is a super-2 number, since 2×1057573651456² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057573651397 and 1057573651406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 230355721 + ... + 230360311.

Almost surely, 2^{1057573651456} is an apocalyptic number.

1057573651456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057573651456 is the 1028384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057573651456

1057573651456 is an abundant number, since it is smaller than the sum of its proper divisors (1402238208311).

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

1057573651456 is an frugal number, since it uses more digits than its factorization.

1057573651456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 55.

The spelling of 1057573651456 in words is "one trillion, fifty-seven billion, five hundred seventy-three million, six hundred fifty-one thousand, four hundred fifty-six".