7971261955020 has 2304 divisors, whose sum is σ = 35221297692672. Its totient is φ = 1464266833920.

The previous prime is 7971261954979. The next prime is 7971261955049. The reversal of 7971261955020 is 205591621797.

It is a happy number.

7971261955020 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 2 + 61 + 9 + 550 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5360632717 + ... + 5360634203.

It is an arithmetic number, because the mean of its divisors is an integer number (15287021568).

Almost surely, 2^{7971261955020} is an apocalyptic number.

7971261955020 is a gapful number since it is divisible by the number (70) 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 7971261955020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610648846336).

7971261955020 is an abundant number, since it is smaller than the sum of its proper divisors (27250035737652).

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

7971261955020 is a wasteful number, since it uses less digits than its factorization.

7971261955020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 7971261955020 in words is "seven trillion, nine hundred seventy-one billion, two hundred sixty-one million, nine hundred fifty-five thousand, twenty".