1925212250880 has 576 divisors, whose sum is σ = 7011659437440. Its totient is φ = 506303447040.

The previous prime is 1925212250867. The next prime is 1925212250881. The reversal of 1925212250880 is 880522125291.

1925212250880 is a `hidden beast` number, since 1 + 9 + 2 + 52 + 12 + 2 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1925212250881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204348570 + ... + 204357990.

Almost surely, 2^{1925212250880} is an apocalyptic number.

1925212250880 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 1925212250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505829718720).

1925212250880 is an abundant number, since it is smaller than the sum of its proper divisors (5086447186560).

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

1925212250880 is an frugal number, since it uses more digits than its factorization.

1925212250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1925212250880 in words is "one trillion, nine hundred twenty-five billion, two hundred twelve million, two hundred fifty thousand, eight hundred eighty".