38525947020000 has 1440 divisors, whose sum is σ = 151522844368896. Its totient is φ = 9204672000000.

The previous prime is 38525947019993. The next prime is 38525947020013. The reversal of 38525947020000 is 2074952583.

38525947020000 is a `hidden beast` number, since 3 + 8 + 52 + 594 + 7 + 0 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76592339749 + ... + 76592340251.

Almost surely, 2^{38525947020000} is an apocalyptic number.

38525947020000 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 38525947020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75761422184448).

38525947020000 is an abundant number, since it is smaller than the sum of its proper divisors (112996897348896).

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

38525947020000 is a wasteful number, since it uses less digits than its factorization.

38525947020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 38525947020000 in words is "thirty-eight trillion, five hundred twenty-five billion, nine hundred forty-seven million, twenty thousand".