25551164620800 has 4860 divisors, whose sum is σ = 123417198043776. Its totient is φ = 5217111244800.

The previous prime is 25551164620783. The next prime is 25551164620801. The reversal of 25551164620800 is 802646115552.

25551164620800 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 1 + 16 + 4 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4860).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25551164620801) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 824231116785 + ... + 824231116815.

Almost surely, 2^{25551164620800} is an apocalyptic number.

25551164620800 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 25551164620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61708599021888).

25551164620800 is an abundant number, since it is smaller than the sum of its proper divisors (97866033422976).

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

25551164620800 is an equidigital number, since it uses as much as digits as its factorization.

25551164620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 25551164620800 in words is "twenty-five trillion, five hundred fifty-one billion, one hundred sixty-four million, six hundred twenty thousand, eight hundred".