1975936500720 has 1920 divisors, whose sum is σ = 9053873848320. Its totient is φ = 385281515520.

The previous prime is 1975936500691. The next prime is 1975936500781. The reversal of 1975936500720 is 270056395791.

1975936500720 is a `hidden beast` number, since 19 + 7 + 59 + 3 + 6 + 500 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3223387134 + ... + 3223387746.

It is an arithmetic number, because the mean of its divisors is an integer number (4715559296).

Almost surely, 2^{1975936500720} is an apocalyptic number.

1975936500720 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 1975936500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526936924160).

1975936500720 is an abundant number, since it is smaller than the sum of its proper divisors (7077937347600).

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

1975936500720 is a wasteful number, since it uses less digits than its factorization.

1975936500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 1975936500720 in words is "one trillion, nine hundred seventy-five billion, nine hundred thirty-six million, five hundred thousand, seven hundred twenty".