38553641280 has 1344 divisors, whose sum is σ = 176379420672. Its totient is φ = 7783464960.

The previous prime is 38553641239. The next prime is 38553641281. The reversal of 38553641280 is 8214635583.

38553641280 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 364 + 1 + 280 = 666.

38553641280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (38553641281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281413372 + ... + 281413508.

It is an arithmetic number, because the mean of its divisors is an integer number (131234688).

Almost surely, 2^38553641280 is an apocalyptic number.

38553641280 is a gapful number since it is divisible by the number (30) 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 38553641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88189710336).

38553641280 is an abundant number, since it is smaller than the sum of its proper divisors (137825779392).

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

38553641280 is a wasteful number, since it uses less digits than its factorization.

38553641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38553641280 in words is "thirty-eight billion, five hundred fifty-three million, six hundred forty-one thousand, two hundred eighty".