95198292249840 has 400 divisors, whose sum is σ = 356459192443200. Its totient is φ = 23407907917824.

The previous prime is 95198292249839. The next prime is 95198292249881. The reversal of 95198292249840 is 4894229289159.

95198292249840 is a `hidden beast` number, since 9 + 5 + 1 + 9 + 8 + 2 + 92 + 2 + 498 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76801716 + ... + 78031404.

It is an arithmetic number, because the mean of its divisors is an integer number (891147981108).

Almost surely, 2^{95198292249840} is an apocalyptic number.

95198292249840 is a gapful number since it is divisible by the number (90) 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 95198292249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178229596221600).

95198292249840 is an abundant number, since it is smaller than the sum of its proper divisors (261260900193360).

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

95198292249840 is a wasteful number, since it uses less digits than its factorization.

95198292249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230646 (or 1230631 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 95198292249840 in words is "ninety-five trillion, one hundred ninety-eight billion, two hundred ninety-two million, two hundred forty-nine thousand, eight hundred forty".