47561770026000 has 3200 divisors, whose sum is σ = 200207614464000. Its totient is φ = 10803290112000.

The previous prime is 47561770025993. The next prime is 47561770026011. The reversal of 47561770026000 is 62007716574.

47561770026000 is a `hidden beast` number, since 4 + 7 + 5 + 617 + 7 + 0 + 0 + 26 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×47561770026000² (a number of 28 digits) contains 22 as substring.

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

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 639 ways as a sum of consecutive naturals, for example, 176809553866 + ... + 176809554134.

It is an arithmetic number, because the mean of its divisors is an integer number (62564879520).

Almost surely, 2^{47561770026000} is an apocalyptic number.

47561770026000 is a gapful number since it is divisible by the number (40) 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 47561770026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103807232000).

47561770026000 is an abundant number, since it is smaller than the sum of its proper divisors (152645844438000).

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

47561770026000 is a wasteful number, since it uses less digits than its factorization.

47561770026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 47561770026000 in words is "forty-seven trillion, five hundred sixty-one billion, seven hundred seventy million, twenty-six thousand".