61398429788160 has 2304 divisors, whose sum is σ = 249940585440000. Its totient is φ = 14207869255680.

The previous prime is 61398429788159. The next prime is 61398429788183. The reversal of 61398429788160 is 6188792489316.

61398429788160 is a `hidden beast` number, since 6 + 1 + 39 + 8 + 429 + 7 + 8 + 8 + 160 = 666.

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

It is a super-2 number, since 2×61398429788160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150118410036 + ... + 150118410444.

It is an arithmetic number, because the mean of its divisors is an integer number (108481156875).

Almost surely, 2^{61398429788160} is an apocalyptic number.

61398429788160 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 61398429788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124970292720000).

61398429788160 is an abundant number, since it is smaller than the sum of its proper divisors (188542155651840).

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

61398429788160 is a wasteful number, since it uses less digits than its factorization.

61398429788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 61398429788160 in words is "sixty-one trillion, three hundred ninety-eight billion, four hundred twenty-nine million, seven hundred eighty-eight thousand, one hundred sixty".