59795351871840 has 576 divisors, whose sum is σ = 241291866344256. Its totient is φ = 13853038804992.

The previous prime is 59795351871809. The next prime is 59795351871841. The reversal of 59795351871840 is 4817815359795.

It is a happy number.

59795351871840 is a `hidden beast` number, since 5 + 9 + 7 + 9 + 53 + 518 + 7 + 18 + 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 not an unprimeable number, because it can be changed into a prime (59795351871841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5112964 + ... + 12071996.

It is an arithmetic number, because the mean of its divisors is an integer number (418909490181).

Almost surely, 2^{59795351871840} 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 59795351871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120645933172128).

59795351871840 is an abundant number, since it is smaller than the sum of its proper divisors (181496514472416).

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

59795351871840 is a wasteful number, since it uses less digits than its factorization.

59795351871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959093 (or 6959073 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 59795351871840 in words is "fifty-nine trillion, seven hundred ninety-five billion, three hundred fifty-one million, eight hundred seventy-one thousand, eight hundred forty".