25537475573120 has 384 divisors, whose sum is σ = 71439641280000. Its totient is φ = 8703820984320.

The previous prime is 25537475573119. The next prime is 25537475573131. The reversal of 25537475573120 is 2137557473552.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7298505131 + ... + 7298508629.

It is an arithmetic number, because the mean of its divisors is an integer number (186040732500).

Almost surely, 2^{25537475573120} is an apocalyptic number.

25537475573120 is a gapful number since it is divisible by the number (20) 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 25537475573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35719820640000).

25537475573120 is an abundant number, since it is smaller than the sum of its proper divisors (45902165706880).

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

25537475573120 is a wasteful number, since it uses less digits than its factorization.

25537475573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 30870000, while the sum is 56.

The spelling of 25537475573120 in words is "twenty-five trillion, five hundred thirty-seven billion, four hundred seventy-five million, five hundred seventy-three thousand, one hundred twenty".