195137633053440 has 2304 divisors, whose sum is σ = 895433688576000. Its totient is φ = 39881731276800.

The previous prime is 195137633053421. The next prime is 195137633053469. The reversal of 195137633053440 is 44350336731591.

195137633053440 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 3 + 7 + 63 + 3 + 0 + 534 + 40 = 666.

195137633053440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7954075414 + ... + 7954099946.

It is an arithmetic number, because the mean of its divisors is an integer number (388643094000).

Almost surely, 2^{195137633053440} is an apocalyptic number.

195137633053440 is a gapful number since it is divisible by the number (10) 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 195137633053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447716844288000).

195137633053440 is an abundant number, since it is smaller than the sum of its proper divisors (700296055522560).

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

195137633053440 is a wasteful number, since it uses less digits than its factorization.

195137633053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24656 (or 24622 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 195137633053440 in words is "one hundred ninety-five trillion, one hundred thirty-seven billion, six hundred thirty-three million, fifty-three thousand, four hundred forty".