1957890086901 has 192 divisors, whose sum is σ = 3616152960000. Its totient is φ = 1040786651520.

The previous prime is 1957890086881. The next prime is 1957890086903. The reversal of 1957890086901 is 1096800987591.

It is not a de Polignac number, because 1957890086901 - 2¹¹ = 1957890084853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957890086903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 587776806 + ... + 587780136.

It is an arithmetic number, because the mean of its divisors is an integer number (18834130000).

Almost surely, 2^{1957890086901} is an apocalyptic number.

It is an amenable number.

1957890086901 is a deficient number, since it is larger than the sum of its proper divisors (1658262873099).

1957890086901 is a wasteful number, since it uses less digits than its factorization.

1957890086901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 1957890086901 in words is "one trillion, nine hundred fifty-seven billion, eight hundred ninety million, eighty-six thousand, nine hundred one".