38978755200000 has 5544 divisors, whose sum is σ = 191282977605888. Its totient is φ = 7838208000000.

The previous prime is 38978755199977. The next prime is 38978755200043. The reversal of 38978755200000 is 255787983.

38978755200000 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 87 + 552 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38978755200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1257379199985 + ... + 1257379200015.

Almost surely, 2^{38978755200000} is an apocalyptic number.

38978755200000 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 38978755200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95641488802944).

38978755200000 is an abundant number, since it is smaller than the sum of its proper divisors (152304222405888).

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

38978755200000 is an frugal number, since it uses more digits than its factorization.

38978755200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 38978755200000 in words is "thirty-eight trillion, nine hundred seventy-eight billion, seven hundred fifty-five million, two hundred thousand".