1057166110000 has 600 divisors, whose sum is σ = 3462933031712. Its totient is φ = 304128000000.

The previous prime is 1057166109973. The next prime is 1057166110051. The reversal of 1057166110000 is 116617501.

It is a super-2 number, since 2×1057166110000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110105200 + ... + 110114800.

Almost surely, 2^{1057166110000} is an apocalyptic number.

1057166110000 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 1057166110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731466515856).

1057166110000 is an abundant number, since it is smaller than the sum of its proper divisors (2405766921712).

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

1057166110000 is a wasteful number, since it uses less digits than its factorization.

1057166110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 1057166110000 in words is "one trillion, fifty-seven billion, one hundred sixty-six million, one hundred ten thousand".