815851251400 has 48 divisors (see below), whose sum is σ = 1896939877140. Its totient is φ = 326325753600.

The previous prime is 815851251389. The next prime is 815851251409. The reversal of 815851251400 is 4152158518.

It is a happy number.

815851251400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 137399214276 + 678452037124 = 370674^2 + 823682^2 .

It is a super-2 number, since 2×815851251400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (815851251409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5064090 + ... + 5222710.

Almost surely, 2^815851251400 is an apocalyptic number.

It is an amenable number.

815851251400 is an abundant number, since it is smaller than the sum of its proper divisors (1081088625740).

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

815851251400 is a wasteful number, since it uses less digits than its factorization.

815851251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184354 (or 184345 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 40.

The spelling of 815851251400 in words is "eight hundred fifteen billion, eight hundred fifty-one million, two hundred fifty-one thousand, four hundred".