38615640268800 has 840 divisors, whose sum is σ = 148958293610376. Its totient is φ = 8826094878720.

The previous prime is 38615640268741. The next prime is 38615640268831. The reversal of 38615640268800 is 886204651683.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1475161312 + ... + 1475187488.

Almost surely, 2^{38615640268800} is an apocalyptic number.

38615640268800 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 38615640268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74479146805188).

38615640268800 is an abundant number, since it is smaller than the sum of its proper divisors (110342653341576).

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

38615640268800 is an frugal number, since it uses more digits than its factorization.

38615640268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26244 (or 26194 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 38615640268800 in words is "thirty-eight trillion, six hundred fifteen billion, six hundred forty million, two hundred sixty-eight thousand, eight hundred".