1682401925520 has 120 divisors (see below), whose sum is σ = 5651044651512. Its totient is φ = 448562841600.

The previous prime is 1682401925513. The next prime is 1682401925549. The reversal of 1682401925520 is 255291042861.

1682401925520 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 4 + 0 + 1 + 92 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1417070736 + 1680984854784 = 37644^2 + 1296528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4020580 + ... + 4419260.

Almost surely, 2^{1682401925520} is an apocalyptic number.

1682401925520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682401925520 is an abundant number, since it is smaller than the sum of its proper divisors (3968642725992).

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

1682401925520 is a wasteful number, since it uses less digits than its factorization.

1682401925520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404561 (or 404552 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1682401925520 in words is "one trillion, six hundred eighty-two billion, four hundred one million, nine hundred twenty-five thousand, five hundred twenty".