1070478435600 has 360 divisors, whose sum is σ = 4250958129600. Its totient is φ = 244369198080.

The previous prime is 1070478435589. The next prime is 1070478435629. The reversal of 1070478435600 is 65348740701.

1070478435600 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 7 + 8 + 4 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1070478435600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20057751 + ... + 20111049.

Almost surely, 2^{1070478435600} is an apocalyptic number.

1070478435600 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 1070478435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125479064800).

1070478435600 is an abundant number, since it is smaller than the sum of its proper divisors (3180479694000).

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

1070478435600 is a wasteful number, since it uses less digits than its factorization.

1070478435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54127 (or 54113 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1070478435600 in words is "one trillion, seventy billion, four hundred seventy-eight million, four hundred thirty-five thousand, six hundred".