1625427198720 has 1152 divisors, whose sum is σ = 6376871854080. Its totient is φ = 389611192320.

The previous prime is 1625427198719. The next prime is 1625427198749. The reversal of 1625427198720 is 278917245261.

1625427198720 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 427 + 198 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 3480571927 + ... + 3480572393.

It is an arithmetic number, because the mean of its divisors is an integer number (5535479040).

Almost surely, 2^{1625427198720} is an apocalyptic number.

1625427198720 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 1625427198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188435927040).

1625427198720 is an abundant number, since it is smaller than the sum of its proper divisors (4751444655360).

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

1625427198720 is a wasteful number, since it uses less digits than its factorization.

1625427198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1625427198720 in words is "one trillion, six hundred twenty-five billion, four hundred twenty-seven million, one hundred ninety-eight thousand, seven hundred twenty".