7129150366800 has 480 divisors, whose sum is σ = 28479196929024. Its totient is φ = 1481015808000.

The previous prime is 7129150366799. The next prime is 7129150366813. The reversal of 7129150366800 is 86630519217.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7129150366800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538408180 + ... + 538421420.

Almost surely, 2^{7129150366800} is an apocalyptic number.

7129150366800 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 7129150366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239598464512).

7129150366800 is an abundant number, since it is smaller than the sum of its proper divisors (21350046562224).

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

7129150366800 is a wasteful number, since it uses less digits than its factorization.

7129150366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19107 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 7129150366800 in words is "seven trillion, one hundred twenty-nine billion, one hundred fifty million, three hundred sixty-six thousand, eight hundred".