1957051217280 has 768 divisors, whose sum is σ = 6996499545600. Its totient is φ = 464277209088.

The previous prime is 1957051217269. The next prime is 1957051217281. The reversal of 1957051217280 is 827121507591.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957051217281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135838499 + ... + 1135840221.

It is an arithmetic number, because the mean of its divisors is an integer number (9110025450).

Almost surely, 2^{1957051217280} is an apocalyptic number.

1957051217280 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 1957051217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498249772800).

1957051217280 is an abundant number, since it is smaller than the sum of its proper divisors (5039448328320).

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

1957051217280 is a wasteful number, since it uses less digits than its factorization.

1957051217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 48.

The spelling of 1957051217280 in words is "one trillion, nine hundred fifty-seven billion, fifty-one million, two hundred seventeen thousand, two hundred eighty".