61505542224000 has 1536 divisors, whose sum is σ = 274512276080640. Its totient is φ = 12873705062400.

The previous prime is 61505542223987. The next prime is 61505542224011. The reversal of 61505542224000 is 42224550516.

61505542224000 is a `hidden beast` number, since 6 + 1 + 50 + 5 + 542 + 22 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 633983497 + ... + 634080503.

It is an arithmetic number, because the mean of its divisors is an integer number (178718929740).

Almost surely, 2^{61505542224000} is an apocalyptic number.

61505542224000 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 61505542224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137256138040320).

61505542224000 is an abundant number, since it is smaller than the sum of its proper divisors (213006733856640).

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

61505542224000 is a wasteful number, since it uses less digits than its factorization.

61505542224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97103 (or 97078 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 61505542224000 its reverse (42224550516), we get a palindrome (61547766774516).

The spelling of 61505542224000 in words is "sixty-one trillion, five hundred five billion, five hundred forty-two million, two hundred twenty-four thousand".