10525149180000 has 1920 divisors, whose sum is σ = 49702430131200. Its totient is φ = 2103625728000.

The previous prime is 10525149179989. The next prime is 10525149180017. The reversal of 10525149180000 is 8194152501.

10525149180000 is a `hidden beast` number, since 1 + 0 + 52 + 514 + 91 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10525149180000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 933654364 + ... + 933665636.

It is an arithmetic number, because the mean of its divisors is an integer number (25886682360).

Almost surely, 2^{10525149180000} is an apocalyptic number.

10525149180000 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 10525149180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851215065600).

10525149180000 is an abundant number, since it is smaller than the sum of its proper divisors (39177280951200).

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

10525149180000 is a wasteful number, since it uses less digits than its factorization.

10525149180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10525149180000 in words is "ten trillion, five hundred twenty-five billion, one hundred forty-nine million, one hundred eighty thousand".