1975140550656 has 1536 divisors, whose sum is σ = 7711022592000. Its totient is φ = 485019353088.

The previous prime is 1975140550651. The next prime is 1975140550667. The reversal of 1975140550656 is 6560550415791.

It is a happy number.

1975140550656 is a `hidden beast` number, since 1 + 9 + 75 + 14 + 0 + 5 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1975140550651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6979295091 + ... + 6979295373.

It is an arithmetic number, because the mean of its divisors is an integer number (5020197000).

Almost surely, 2^{1975140550656} is an apocalyptic number.

1975140550656 is a gapful number since it is divisible by the number (16) 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 1975140550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855511296000).

1975140550656 is an abundant number, since it is smaller than the sum of its proper divisors (5735882041344).

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

1975140550656 is a wasteful number, since it uses less digits than its factorization.

1975140550656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 1975140550656 in words is "one trillion, nine hundred seventy-five billion, one hundred forty million, five hundred fifty thousand, six hundred fifty-six".