38523906086400 has 1440 divisors, whose sum is σ = 159375147909120. Its totient is φ = 8704660930560.

The previous prime is 38523906086389. The next prime is 38523906086441. The reversal of 38523906086400 is 468060932583.

38523906086400 is a `hidden beast` number, since 3 + 8 + 5 + 23 + 9 + 0 + 608 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39838578717 + ... + 39838579683.

It is an arithmetic number, because the mean of its divisors is an integer number (110677186048).

Almost surely, 2^{38523906086400} is an apocalyptic number.

38523906086400 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 38523906086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79687573954560).

38523906086400 is an abundant number, since it is smaller than the sum of its proper divisors (120851241822720).

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

38523906086400 is a wasteful number, since it uses less digits than its factorization.

38523906086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38523906086400 in words is "thirty-eight trillion, five hundred twenty-three billion, nine hundred six million, eighty-six thousand, four hundred".