61451550720000 has 2880 divisors, whose sum is σ = 268610592096000. Its totient is φ = 14046068736000.

The previous prime is 61451550719863. The next prime is 61451550720029. The reversal of 61451550720000 is 2705515416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (7!)³ ⋅ 5! ⋅ (2!)².

61451550720000 is a `hidden beast` number, since 6 + 145 + 1 + 5 + 507 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 50400 × 30240 × 40320.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8778792959997 + ... + 8778792960003.

It is an arithmetic number, because the mean of its divisors is an integer number (93267566700).

Almost surely, 2^{61451550720000} is an apocalyptic number.

61451550720000 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 61451550720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134305296048000).

61451550720000 is an abundant number, since it is smaller than the sum of its proper divisors (207159041376000).

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

61451550720000 is an frugal number, since it uses more digits than its factorization.

61451550720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 61451550720000 in words is "sixty-one trillion, four hundred fifty-one billion, five hundred fifty million, seven hundred twenty thousand".