1003425151680 has 1260 divisors, whose sum is σ = 4187976816816. Its totient is φ = 220485888000.

The previous prime is 1003425151669. The next prime is 1003425151709. The reversal of 1003425151680 is 861515243001.

1003425151680 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 425 + 151 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6645199605 + ... + 6645199755.

Almost surely, 2^{1003425151680} is an apocalyptic number.

1003425151680 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 1003425151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093988408408).

1003425151680 is an abundant number, since it is smaller than the sum of its proper divisors (3184551665136).

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

1003425151680 is an equidigital number, since it uses as much as digits as its factorization.

1003425151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1003425151680 in words is "one trillion, three billion, four hundred twenty-five million, one hundred fifty-one thousand, six hundred eighty".