1625861652480 has 1600 divisors, whose sum is σ = 6820938432000. Its totient is φ = 366917713920.

The previous prime is 1625861652439. The next prime is 1625861652559. The reversal of 1625861652480 is 842561685261.

1625861652480 is a `hidden beast` number, since 1 + 6 + 2 + 58 + 61 + 6 + 52 + 480 = 666.

It is a super-2 number, since 2×1625861652480² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52447150065 + ... + 52447150095.

It is an arithmetic number, because the mean of its divisors is an integer number (4263086520).

Almost surely, 2^{1625861652480} is an apocalyptic number.

1625861652480 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 1625861652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410469216000).

1625861652480 is an abundant number, since it is smaller than the sum of its proper divisors (5195076779520).

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

1625861652480 is an frugal number, since it uses more digits than its factorization.

1625861652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1625861652480 in words is "one trillion, six hundred twenty-five billion, eight hundred sixty-one million, six hundred fifty-two thousand, four hundred eighty".