1525478863104 has 1080 divisors, whose sum is σ = 5751766944000. Its totient is φ = 399435079680.

The previous prime is 1525478863087. The next prime is 1525478863201. The reversal of 1525478863104 is 4013688745251.

It is a happy number.

1525478863104 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 478 + 8 + 63 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 598460422 + ... + 598462970.

Almost surely, 2^{1525478863104} is an apocalyptic number.

1525478863104 is a gapful number since it is divisible by the number (14) 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 1525478863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875883472000).

1525478863104 is an abundant number, since it is smaller than the sum of its proper divisors (4226288080896).

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

1525478863104 is a wasteful number, since it uses less digits than its factorization.

1525478863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1525478863104 in words is "one trillion, five hundred twenty-five billion, four hundred seventy-eight million, eight hundred sixty-three thousand, one hundred four".