25428454571520 has 7200 divisors, whose sum is σ = 131796251937504. Its totient is φ = 4635202682880.

The previous prime is 25428454571519. The next prime is 25428454571521. The reversal of 25428454571520 is 2517545482452.

25428454571520 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 8 + 4 + 5 + 45 + 71 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (25428454571519) and next prime (25428454571521).

It is a super-2 number, since 2×25428454571520² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (25428454571521) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 591359408619 + ... + 591359408661.

Almost surely, 2^{25428454571520} is an apocalyptic number.

25428454571520 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 25428454571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65898125968752).

25428454571520 is an abundant number, since it is smaller than the sum of its proper divisors (106367797365984).

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

25428454571520 is a wasteful number, since it uses less digits than its factorization.

25428454571520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17920000, while the sum is 54.

The spelling of 25428454571520 in words is "twenty-five trillion, four hundred twenty-eight billion, four hundred fifty-four million, five hundred seventy-one thousand, five hundred twenty".