515125766400 has 432 divisors, whose sum is σ = 1944869270400. Its totient is φ = 117622702080.

The previous prime is 515125766371. The next prime is 515125766423. The reversal of 515125766400 is 4667521515.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253880586 + ... + 253882614.

It is an arithmetic number, because the mean of its divisors is an integer number (4502012200).

Almost surely, 2^515125766400 is an apocalyptic number.

515125766400 is a gapful number since it is divisible by the number (50) 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 515125766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972434635200).

515125766400 is an abundant number, since it is smaller than the sum of its proper divisors (1429743504000).

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

515125766400 is a wasteful number, since it uses less digits than its factorization.

515125766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 515125766400 in words is "five hundred fifteen billion, one hundred twenty-five million, seven hundred sixty-six thousand, four hundred".