23478951600 has 720 divisors, whose sum is σ = 96436765152. Its totient is φ = 5434490880.

The previous prime is 23478951599. The next prime is 23478951649. The reversal of 23478951600 is 615987432.

23478951600 is a `hidden beast` number, since 2 + 34 + 7 + 8 + 9 + 5 + 1 + 600 = 666.

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

It is a super-2 number, since 2×23478951600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21480654 + ... + 21481746.

It is a 1-persistent number, because it is pandigital, but 2⋅23478951600 = 46957903200 is not.

Almost surely, 2^23478951600 is an apocalyptic number.

23478951600 is a gapful number since it is divisible by the number (20) 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 23478951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48218382576).

23478951600 is an abundant number, since it is smaller than the sum of its proper divisors (72957813552).

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

23478951600 is a wasteful number, since it uses less digits than its factorization.

23478951600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23478951600 in words is "twenty-three billion, four hundred seventy-eight million, nine hundred fifty-one thousand, six hundred".