95400844397760 has 1344 divisors, whose sum is σ = 350721891717120. Its totient is φ = 21929331916800.

The previous prime is 95400844397699. The next prime is 95400844397839. The reversal of 95400844397760 is 6779344800459.

It is a super-2 number, since 2×95400844397760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 95400844397691 and 95400844397700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45668186796 + ... + 45668188884.

It is an arithmetic number, because the mean of its divisors is an integer number (260953788480).

Almost surely, 2^{95400844397760} 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 95400844397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175360945858560).

95400844397760 is an abundant number, since it is smaller than the sum of its proper divisors (255321047319360).

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

95400844397760 is a wasteful number, since it uses less digits than its factorization.

95400844397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 95400844397760 in words is "ninety-five trillion, four hundred billion, eight hundred forty-four million, three hundred ninety-seven thousand, seven hundred sixty".