387707052096000 has 7680 divisors, whose sum is σ = 1909977945587712. Its totient is φ = 76149758361600.

The previous prime is 387707052095959. The next prime is 387707052096083. The reversal of 387707052096000 is 690250707783.

387707052096000 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 0 + 7 + 0 + 5 + 20 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 767 ways as a sum of consecutive naturals, for example, 1399664447862 + ... + 1399664448138.

Almost surely, 2^{387707052096000} is an apocalyptic number.

387707052096000 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 387707052096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954988972793856).

387707052096000 is an abundant number, since it is smaller than the sum of its proper divisors (1522270893491712).

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

387707052096000 is a wasteful number, since it uses less digits than its factorization.

387707052096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 387707052096000 in words is "three hundred eighty-seven trillion, seven hundred seven billion, fifty-two million, ninety-six thousand".