1578475971072 has 2880 divisors, whose sum is σ = 6846401802240. Its totient is φ = 342790963200.

The previous prime is 1578475971049. The next prime is 1578475971073. The reversal of 1578475971072 is 2701795748751.

1578475971072 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 475 + 97 + 1 + 0 + 72 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1578475971073) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19017782743 + ... + 19017782825.

It is an arithmetic number, because the mean of its divisors is an integer number (2377222848).

Almost surely, 2^{1578475971072} is an apocalyptic number.

1578475971072 is a gapful number since it is divisible by the number (12) 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 1578475971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423200901120).

1578475971072 is an abundant number, since it is smaller than the sum of its proper divisors (5267925831168).

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

1578475971072 is a wasteful number, since it uses less digits than its factorization.

1578475971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 63.

The spelling of 1578475971072 in words is "one trillion, five hundred seventy-eight billion, four hundred seventy-five million, nine hundred seventy-one thousand, seventy-two".