102479270400 has 720 divisors, whose sum is σ = 404831667240. Its totient is φ = 24595660800.

The previous prime is 102479270381. The next prime is 102479270449. The reversal of 102479270400 is 4072974201.

102479270400 is a `hidden beast` number, since 1 + 0 + 247 + 9 + 2 + 7 + 0 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4445155584 + 98034114816 = 66672^2 + 313104^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61400766 + ... + 61402434.

Almost surely, 2^102479270400 is an apocalyptic number.

102479270400 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 102479270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202415833620).

102479270400 is an abundant number, since it is smaller than the sum of its proper divisors (302352396840).

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

102479270400 is a wasteful number, since it uses less digits than its factorization.

102479270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 102479270400 in words is "one hundred two billion, four hundred seventy-nine million, two hundred seventy thousand, four hundred".