387574605250560 has 5760 divisors, whose sum is σ = 1851602511306240. Its totient is φ = 76860088123392.

The previous prime is 387574605250549. The next prime is 387574605250583. The reversal of 387574605250560 is 65052506475783.

387574605250560 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 7 + 4 + 60 + 5 + 2 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×387574605250560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3051768545217 + ... + 3051768545343.

It is an arithmetic number, because the mean of its divisors is an integer number (321458769324).

Almost surely, 2^{387574605250560} is an apocalyptic number.

387574605250560 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 387574605250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925801255653120).

387574605250560 is an abundant number, since it is smaller than the sum of its proper divisors (1464027906055680).

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

387574605250560 is a wasteful number, since it uses less digits than its factorization.

387574605250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 63.

The spelling of 387574605250560 in words is "three hundred eighty-seven trillion, five hundred seventy-four billion, six hundred five million, two hundred fifty thousand, five hundred sixty".