61598145738240 has 1120 divisors, whose sum is σ = 228265446987072. Its totient is φ = 15927238656000.

The previous prime is 61598145738221. The next prime is 61598145738277. The reversal of 61598145738240 is 4283754189516.

It is a happy number.

61598145738240 is a `hidden beast` number, since 6 + 1 + 5 + 9 + 8 + 14 + 573 + 8 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8082681630 + ... + 8082689250.

It is a 1-persistent number, because it is pandigital, but 2⋅61598145738240 = 123196291476480 is not.

Almost surely, 2^{61598145738240} is an apocalyptic number.

61598145738240 is a gapful number since it is divisible by the number (60) 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 61598145738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114132723493536).

61598145738240 is an abundant number, since it is smaller than the sum of its proper divisors (166667301248832).

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

61598145738240 is an frugal number, since it uses more digits than its factorization.

61598145738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 61598145738240 in words is "sixty-one trillion, five hundred ninety-eight billion, one hundred forty-five million, seven hundred thirty-eight thousand, two hundred forty".