60753337352400 has 720 divisors, whose sum is σ = 247321541533248. Its totient is φ = 12605967360000.

The previous prime is 60753337352399. The next prime is 60753337352419. The reversal of 60753337352400 is 425373335706.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60753337352400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 453339804 + ... + 453473796.

Almost surely, 2^{60753337352400} is an apocalyptic number.

60753337352400 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 60753337352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123660770766624).

60753337352400 is an abundant number, since it is smaller than the sum of its proper divisors (186568204180848).

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

60753337352400 is a wasteful number, since it uses less digits than its factorization.

60753337352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134740 (or 134722 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 48.

The spelling of 60753337352400 in words is "sixty trillion, seven hundred fifty-three billion, three hundred thirty-seven million, three hundred fifty-two thousand, four hundred".