1625473578240 has 1296 divisors, whose sum is σ = 6285536449920. Its totient is φ = 401495408640.

The previous prime is 1625473578217. The next prime is 1625473578307. The reversal of 1625473578240 is 428753745261.

1625473578240 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 47 + 3 + 578 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9733374637 + ... + 9733374803.

Almost surely, 2^{1625473578240} is an apocalyptic number.

1625473578240 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 1625473578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142768224960).

1625473578240 is an abundant number, since it is smaller than the sum of its proper divisors (4660062871680).

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

1625473578240 is an frugal number, since it uses more digits than its factorization.

1625473578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 1625473578240 in words is "one trillion, six hundred twenty-five billion, four hundred seventy-three million, five hundred seventy-eight thousand, two hundred forty".