38802737625120 has 432 divisors, whose sum is σ = 157143133038528. Its totient is φ = 8869195491840.

The previous prime is 38802737625107. The next prime is 38802737625149. The reversal of 38802737625120 is 2152673720883.

38802737625120 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 2 + 7 + 3 + 7 + 625 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4708075 + ... + 9988565.

It is an arithmetic number, because the mean of its divisors is an integer number (363757252404).

Almost surely, 2^{38802737625120} is an apocalyptic number.

38802737625120 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 38802737625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78571566519264).

38802737625120 is an abundant number, since it is smaller than the sum of its proper divisors (118340395413408).

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

38802737625120 is an frugal number, since it uses more digits than its factorization.

38802737625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280537 (or 5280508 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38802737625120 in words is "thirty-eight trillion, eight hundred two billion, seven hundred thirty-seven million, six hundred twenty-five thousand, one hundred twenty".