65101953798000 has 1920 divisors, whose sum is σ = 288387210608640. Its totient is φ = 13949339443200.

The previous prime is 65101953797999. The next prime is 65101953798053. The reversal of 65101953798000 is 89735910156.

65101953798000 is a `hidden beast` number, since 6 + 5 + 1 + 0 + 19 + 537 + 98 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11830263249 + ... + 11830268751.

It is an arithmetic number, because the mean of its divisors is an integer number (150201672192).

Almost surely, 2^{65101953798000} is an apocalyptic number.

65101953798000 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 65101953798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144193605304320).

65101953798000 is an abundant number, since it is smaller than the sum of its proper divisors (223285256810640).

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

65101953798000 is a wasteful number, since it uses less digits than its factorization.

65101953798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 65101953798000 in words is "sixty-five trillion, one hundred one billion, nine hundred fifty-three million, seven hundred ninety-eight thousand".