1070097925248 has 192 divisors, whose sum is σ = 3365182735200. Its totient is φ = 323700019200.

The previous prime is 1070097925213. The next prime is 1070097925249. The reversal of 1070097925248 is 8425297900701.

1070097925248 is a `hidden beast` number, since 107 + 0 + 0 + 9 + 7 + 9 + 2 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1070097925248² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070097925194 and 1070097925203.

It is not an unprimeable number, because it can be changed into a prime (1070097925249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7136163 + ... + 7284573.

Almost surely, 2^{1070097925248} is an apocalyptic number.

1070097925248 is a gapful number since it is divisible by the number (18) 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 1070097925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682591367600).

1070097925248 is an abundant number, since it is smaller than the sum of its proper divisors (2295084809952).

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

1070097925248 is a wasteful number, since it uses less digits than its factorization.

1070097925248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149011 (or 148996 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1070097925248 in words is "one trillion, seventy billion, ninety-seven million, nine hundred twenty-five thousand, two hundred forty-eight".