38877511680000 has 2880 divisors, whose sum is σ = 171910778941440. Its totient is φ = 8599633920000.

The previous prime is 38877511679953. The next prime is 38877511680041. The reversal of 38877511680000 is 8611577883.

It is a happy number.

38877511680000 is a `hidden beast` number, since 388 + 7 + 75 + 116 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×38877511680000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1254113279985 + ... + 1254113280015.

It is an arithmetic number, because the mean of its divisors is an integer number (59691242688).

Almost surely, 2^{38877511680000} is an apocalyptic number.

38877511680000 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 38877511680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85955389470720).

38877511680000 is an abundant number, since it is smaller than the sum of its proper divisors (133033267261440).

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

38877511680000 is an frugal number, since it uses more digits than its factorization.

38877511680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 38877511680000 in words is "thirty-eight trillion, eight hundred seventy-seven billion, five hundred eleven million, six hundred eighty thousand".