1957199640000 has 1120 divisors, whose sum is σ = 7273247815680. Its totient is φ = 460339200000.

The previous prime is 1957199639987. The next prime is 1957199640037. The reversal of 1957199640000 is 469917591.

It is a super-2 number, since 2×1957199640000² (a number of 25 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 8776679889 + ... + 8776680111.

It is an arithmetic number, because the mean of its divisors is an integer number (6493971264).

Almost surely, 2^{1957199640000} is an apocalyptic number.

1957199640000 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 1957199640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636623907840).

1957199640000 is an abundant number, since it is smaller than the sum of its proper divisors (5316048175680).

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

1957199640000 is a wasteful number, since it uses less digits than its factorization.

1957199640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 1957199640000 in words is "one trillion, nine hundred fifty-seven billion, one hundred ninety-nine million, six hundred forty thousand".