1625617382400 has 2640 divisors, whose sum is σ = 7194257157120. Its totient is φ = 361304064000.

The previous prime is 1625617382387. The next prime is 1625617382423. The reversal of 1625617382400 is 42837165261.

1625617382400 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 617 + 3 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×1625617382400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52439270385 + ... + 52439270415.

It is an arithmetic number, because the mean of its divisors is an integer number (2725097408).

Almost surely, 2^{1625617382400} is an apocalyptic number.

1625617382400 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 1625617382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597128578560).

1625617382400 is an abundant number, since it is smaller than the sum of its proper divisors (5568639774720).

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

1625617382400 is a wasteful number, since it uses less digits than its factorization.

1625617382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1625617382400 in words is "one trillion, six hundred twenty-five billion, six hundred seventeen million, three hundred eighty-two thousand, four hundred".