95434781904 has 480 divisors, whose sum is σ = 347337768960. Its totient is φ = 24643699200.

The previous prime is 95434781879. The next prime is 95434781933. The reversal of 95434781904 is 40918743459.

95434781904 is a `hidden beast` number, since 9 + 543 + 4 + 7 + 8 + 1 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 57179982 + ... + 57181650.

It is an arithmetic number, because the mean of its divisors is an integer number (723620352).

Almost surely, 2^95434781904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95434781904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173668884480).

95434781904 is an abundant number, since it is smaller than the sum of its proper divisors (251902987056).

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

95434781904 is a wasteful number, since it uses less digits than its factorization.

95434781904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 95434781904 in words is "ninety-five billion, four hundred thirty-four million, seven hundred eighty-one thousand, nine hundred four".