1625640053400 has 576 divisors, whose sum is σ = 6110628582240. Its totient is φ = 383877120000.

The previous prime is 1625640053369. The next prime is 1625640053431. The reversal of 1625640053400 is 43500465261.

1625640053400 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 640 + 0 + 5 + 3 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1625640053369) and next prime (1625640053431).

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

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, 715194664 + ... + 715196936.

Almost surely, 2^{1625640053400} is an apocalyptic number.

1625640053400 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 1625640053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055314291120).

1625640053400 is an abundant number, since it is smaller than the sum of its proper divisors (4484988528840).

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

1625640053400 is a wasteful number, since it uses less digits than its factorization.

1625640053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1625640053400 in words is "one trillion, six hundred twenty-five billion, six hundred forty million, fifty-three thousand, four hundred".