61298190581760 has 1144 divisors, whose sum is σ = 240734503712376. Its totient is φ = 14860167413760.

The previous prime is 61298190581723. The next prime is 61298190581767. The reversal of 61298190581760 is 6718509189216.

61298190581760 is a `hidden beast` number, since 612 + 9 + 8 + 1 + 9 + 0 + 5 + 8 + 1 + 7 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61298190581767) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 5572562780155 + ... + 5572562780165.

Almost surely, 2^{61298190581760} is an apocalyptic number.

61298190581760 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 61298190581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120367251856188).

61298190581760 is an abundant number, since it is smaller than the sum of its proper divisors (179436313130616).

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

61298190581760 is an frugal number, since it uses more digits than its factorization.

61298190581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 61298190581760 in words is "sixty-one trillion, two hundred ninety-eight billion, one hundred ninety million, five hundred eighty-one thousand, seven hundred sixty".