61385115738240 has 320 divisors, whose sum is σ = 250534094880960. Its totient is φ = 14030883514368.

The previous prime is 61385115738209. The next prime is 61385115738313. The reversal of 61385115738240 is 4283751158316.

61385115738240 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 511 + 5 + 7 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84217582 + ... + 84943341.

It is an arithmetic number, because the mean of its divisors is an integer number (782919046503).

Almost surely, 2^{61385115738240} is an apocalyptic number.

61385115738240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61385115738240 is an abundant number, since it is smaller than the sum of its proper divisors (189148979142720).

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

61385115738240 is a wasteful number, since it uses less digits than its factorization.

61385115738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169160961 (or 169160940 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 61385115738240 in words is "sixty-one trillion, three hundred eighty-five billion, one hundred fifteen million, seven hundred thirty-eight thousand, two hundred forty".