7195087872000 has 2688 divisors, whose sum is σ = 31885920967680. Its totient is φ = 1595355955200.

The previous prime is 7195087871987. The next prime is 7195087872043. The reversal of 7195087872000 is 2787805917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

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 191 ways as a sum of consecutive naturals, for example, 63673343944 + ... + 63673344056.

Almost surely, 2^{7195087872000} is an apocalyptic number.

7195087872000 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 7195087872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942960483840).

7195087872000 is an abundant number, since it is smaller than the sum of its proper divisors (24690833095680).

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

7195087872000 is a wasteful number, since it uses less digits than its factorization.

7195087872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 7195087872000 in words is "seven trillion, one hundred ninety-five billion, eighty-seven million, eight hundred seventy-two thousand".