25065010977820 has 384 divisors, whose sum is σ = 63768371724288. Its totient is φ = 8168665190400.

The previous prime is 25065010977761. The next prime is 25065010977821. The reversal of 25065010977820 is 2877901056052.

It is a happy number.

It is a super-2 number, since 2×25065010977820² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25065010977821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13570660137 + ... + 13570661983.

It is an arithmetic number, because the mean of its divisors is an integer number (166063468032).

Almost surely, 2^{25065010977820} is an apocalyptic number.

25065010977820 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 25065010977820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31884185862144).

25065010977820 is an abundant number, since it is smaller than the sum of its proper divisors (38703360746468).

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

25065010977820 is a wasteful number, since it uses less digits than its factorization.

25065010977820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 25065010977820 in words is "twenty-five trillion, sixty-five billion, ten million, nine hundred seventy-seven thousand, eight hundred twenty".