25770320640 has 288 divisors, whose sum is σ = 92301316800. Its totient is φ = 6808043520.

The previous prime is 25770320633. The next prime is 25770320647. The reversal of 25770320640 is 4602307752.

It is a happy number.

25770320640 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 0 + 3 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (25770320633) and next prime (25770320647).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25770320595 and 25770320604.

It is not an unprimeable number, because it can be changed into a prime (25770320647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3763620 + ... + 3770460.

Almost surely, 2^25770320640 is an apocalyptic number.

25770320640 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 25770320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46150658400).

25770320640 is an abundant number, since it is smaller than the sum of its proper divisors (66530996160).

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

25770320640 is a wasteful number, since it uses less digits than its factorization.

25770320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 25770320640 in words is "twenty-five billion, seven hundred seventy million, three hundred twenty thousand, six hundred forty".