39750056640000 has 2400 divisors, whose sum is σ = 171794686103040. Its totient is φ = 8984825856000.

The previous prime is 39750056639983. The next prime is 39750056640001. The reversal of 39750056640000 is 4665005793.

39750056640000 is a `hidden beast` number, since 3 + 97 + 500 + 56 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39750056640001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56064959646 + ... + 56064960354.

Almost surely, 2^{39750056640000} is an apocalyptic number.

39750056640000 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 39750056640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85897343051520).

39750056640000 is an abundant number, since it is smaller than the sum of its proper divisors (132044629463040).

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

39750056640000 is an frugal number, since it uses more digits than its factorization.

39750056640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 39750056640000 in words is "thirty-nine trillion, seven hundred fifty billion, fifty-six million, six hundred forty thousand".