1047501020160 has 1320 divisors, whose sum is σ = 4598002023120. Its totient is φ = 226743681024.

The previous prime is 1047501020149. The next prime is 1047501020263. The reversal of 1047501020160 is 610201057401.

It is a happy number.

1047501020160 is a `hidden beast` number, since 1 + 0 + 475 + 0 + 10 + 20 + 160 = 666.

1047501020160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 386102964 + ... + 386105676.

It is an arithmetic number, because the mean of its divisors is an integer number (3483334866).

Almost surely, 2^{1047501020160} is an apocalyptic number.

1047501020160 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 1047501020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299001011560).

1047501020160 is an abundant number, since it is smaller than the sum of its proper divisors (3550501002960).

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

1047501020160 is a wasteful number, since it uses less digits than its factorization.

1047501020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1047501020160 its reverse (610201057401), we get a palindrome (1657702077561).

The spelling of 1047501020160 in words is "one trillion, forty-seven billion, five hundred one million, twenty thousand, one hundred sixty".