1157063355450 has 192 divisors, whose sum is σ = 3276667779840. Its totient is φ = 300052224000.

The previous prime is 1157063355449. The next prime is 1157063355523. The reversal of 1157063355450 is 545533607511.

1157063355450 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 0 + 633 + 5 + 5 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1157063355396 and 1157063355405.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17180242 + ... + 17247458.

It is an arithmetic number, because the mean of its divisors is an integer number (17065978020).

Almost surely, 2^{1157063355450} is an apocalyptic number.

1157063355450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157063355450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638333889920).

1157063355450 is an abundant number, since it is smaller than the sum of its proper divisors (2119604424390).

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

1157063355450 is a wasteful number, since it uses less digits than its factorization.

1157063355450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67590 (or 67579 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 1157063355450 in words is "one trillion, one hundred fifty-seven billion, sixty-three million, three hundred fifty-five thousand, four hundred fifty".