25134677643152 has 160 divisors (see below), whose sum is σ = 60970764288000. Its totient is φ = 9751544640000.

The previous prime is 25134677643109. The next prime is 25134677643181.

It is a happy number.

25134677643152 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322867049 + ... + 322944887.

It is an arithmetic number, because the mean of its divisors is an integer number (381067276800).

Almost surely, 2^{25134677643152} is an apocalyptic number.

25134677643152 is a gapful number since it is divisible by the number (22) 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 25134677643152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30485382144000).

25134677643152 is an abundant number, since it is smaller than the sum of its proper divisors (35836086644848).

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

25134677643152 is a wasteful number, since it uses less digits than its factorization.

25134677643152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78965 (or 78959 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 25134677643152 in words is "twenty-five trillion, one hundred thirty-four billion, six hundred seventy-seven million, six hundred forty-three thousand, one hundred fifty-two".