25511640000 has 840 divisors, whose sum is σ = 106379247744. Its totient is φ = 5280000000.

The previous prime is 25511639953. The next prime is 25511640001. The reversal of 25511640000 is 4611552.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25511640001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101639875 + ... + 101640125.

Almost surely, 2^25511640000 is an apocalyptic number.

25511640000 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 25511640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53189623872).

25511640000 is an abundant number, since it is smaller than the sum of its proper divisors (80867607744).

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

25511640000 is a wasteful number, since it uses less digits than its factorization.

25511640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 25511640000 in words is "twenty-five billion, five hundred eleven million, six hundred forty thousand".