1957095152640 has 264 divisors, whose sum is σ = 6783493036320. Its totient is φ = 521722036224.

The previous prime is 1957095152611. The next prime is 1957095152651. The reversal of 1957095152640 is 462515907591.

1957095152640 is a `hidden beast` number, since 1 + 9 + 5 + 70 + 9 + 5 + 1 + 526 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211825141 + ... + 211834379.

It is an arithmetic number, because the mean of its divisors is an integer number (25695049380).

Almost surely, 2^{1957095152640} is an apocalyptic number.

1957095152640 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 1957095152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391746518160).

1957095152640 is an abundant number, since it is smaller than the sum of its proper divisors (4826397883680).

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

1957095152640 is a wasteful number, since it uses less digits than its factorization.

1957095152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13867 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 1957095152640 in words is "one trillion, nine hundred fifty-seven billion, ninety-five million, one hundred fifty-two thousand, six hundred forty".