61853492160000 has 2800 divisors, whose sum is σ = 246470753612160. Its totient is φ = 15467397120000.

The previous prime is 61853492159909. The next prime is 61853492160017. The reversal of 61853492160000 is 6129435816.

61853492160000 is a `hidden beast` number, since 6 + 1 + 8 + 5 + 34 + 9 + 2 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 277369919889 + ... + 277369920111.

Almost surely, 2^{61853492160000} is an apocalyptic number.

61853492160000 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 61853492160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123235376806080).

61853492160000 is an abundant number, since it is smaller than the sum of its proper divisors (184617261452160).

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

61853492160000 is an frugal number, since it uses more digits than its factorization.

61853492160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61853492160000 in words is "sixty-one trillion, eight hundred fifty-three billion, four hundred ninety-two million, one hundred sixty thousand".