1957374720000 has 2880 divisors, whose sum is σ = 8940618086400. Its totient is φ = 418037760000.

The previous prime is 1957374719999. The next prime is 1957374720013. The reversal of 1957374720000 is 274737591.

1957374720000 is a `hidden beast` number, since 1 + 9 + 573 + 7 + 4 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 63141119985 + ... + 63141120015.

It is an arithmetic number, because the mean of its divisors is an integer number (3104381280).

Almost surely, 2^{1957374720000} is an apocalyptic number.

1957374720000 is a gapful number since it is divisible by the number (10) 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 1957374720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470309043200).

1957374720000 is an abundant number, since it is smaller than the sum of its proper divisors (6983243366400).

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

1957374720000 is an frugal number, since it uses more digits than its factorization.

1957374720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 1957374720000 in words is "one trillion, nine hundred fifty-seven billion, three hundred seventy-four million, seven hundred twenty thousand".