25367276352 has 336 divisors, whose sum is σ = 78563419200. Its totient is φ = 7197696000.

The previous prime is 25367276339. The next prime is 25367276369.

25367276352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 44581924 + ... + 44582492.

It is an arithmetic number, because the mean of its divisors is an integer number (233819700).

Almost surely, 2^25367276352 is an apocalyptic number.

25367276352 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 25367276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39281709600).

25367276352 is an abundant number, since it is smaller than the sum of its proper divisors (53196142848).

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

25367276352 is a wasteful number, since it uses less digits than its factorization.

25367276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 705 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 48.

The spelling of 25367276352 in words is "twenty-five billion, three hundred sixty-seven million, two hundred seventy-six thousand, three hundred fifty-two".