95256762048 has 1344 divisors, whose sum is σ = 376103692800. Its totient is φ = 23702740992.

The previous prime is 95256762047. The next prime is 95256762049. The reversal of 95256762048 is 84026765259.

95256762048 is a `hidden beast` number, since 9 + 5 + 2 + 5 + 6 + 7 + 620 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (95256762047) and next prime (95256762049).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 95256761985 and 95256762003.

It is not an unprimeable number, because it can be changed into a prime (95256762047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2215273515 + ... + 2215273557.

Almost surely, 2^95256762048 is an apocalyptic number.

95256762048 is a gapful number since it is divisible by the number (98) 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 95256762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188051846400).

95256762048 is an abundant number, since it is smaller than the sum of its proper divisors (280846930752).

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

95256762048 is a wasteful number, since it uses less digits than its factorization.

95256762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 95256762048 in words is "ninety-five billion, two hundred fifty-six million, seven hundred sixty-two thousand, forty-eight".