1925061072480 has 1440 divisors, whose sum is σ = 8458709611968. Its totient is φ = 403705036800.

The previous prime is 1925061072443. The next prime is 1925061072533. The reversal of 1925061072480 is 842701605291.

1925061072480 is a `hidden beast` number, since 1 + 9 + 2 + 5 + 0 + 610 + 7 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 3694934620 + ... + 3694935140.

Almost surely, 2^{1925061072480} is an apocalyptic number.

1925061072480 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 1925061072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229354805984).

1925061072480 is an abundant number, since it is smaller than the sum of its proper divisors (6533648539488).

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

1925061072480 is a wasteful number, since it uses less digits than its factorization.

1925061072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1925061072480 in words is "one trillion, nine hundred twenty-five billion, sixty-one million, seventy-two thousand, four hundred eighty".